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mathematics
precalculus 1st

Questions and Answers of Precalculus 1st

Find the values of the parameter p > 0 for which the following series converge. 8 In k kP
Use the test of your choice to determine whether the following series converge. 1 + 1.3 1 3.5 + 1 5.7
Use the test of your choice to determine whether the following series converge. + + +
Find the values of the parameter p > 0 for which the following series converge. In k
Find the values of the parameter p > 0 for which the following series converge. 00 1 k=2 (Ink)P
Find the values of the parameter p > 0 for which the following series converge. 00 1 k=2 k lnk (In In k)"
Find the values of the parameter p > 0 for which the following series converge. 00 k=0 k! pk (k + 1)k
Find the values of the parameter p > 0 for which the following series converge. 8 k=1 1.3.5 (2k-1) pk k!
Find the values of the parameter p > 0 for which the following series converge. k=1 k ^ ( + In k + 1/ P
Find the values of the parameter p > 0 for which the following series converge. 2(₁-²)* 1 k k=1 k
Use the Ratio Test to determine the values of x ≥ 0 for which each series converges. 00 k=1 | پ 2k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. Σ(2x)*
Use the Ratio Test to determine the values of x ≥ 0 for which each series converges. 00 X' k=0
Use the Ratio Test to determine the values of x ≥ 0 for which each series converges. 00 k X 2 k=1k²
Use the Ratio Test to determine the values of x ≥ 0 for which each series converges. 00 X 2k 2 k=1 k²
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. (2x)* k!
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. (x - 1)k k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. (x - 1)k k!
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. Σ(kx)*
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. Σκ! (x − 10)* -
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. sink (1)x² xk k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. 2k (x - 3)k k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. Σ(−1)k k(x − 4)k 2k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. X 3. k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. k²x2k k!
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. k X Σ(1) Ε 5k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. Σκ (x − 1) -
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. X
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. 2k+1 X 3k-1
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. k20 k (2k + 1)!
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. X 10 2k
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. Σ (x − 1)* k* (k + 1)*
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. f(x) = cos x, a = π/6
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. ³ (-2)* (x + 3)* 3k+1
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. f(x)=√x, a = 9
Use the power series representationto find the power series for the following functions (centered at 0). Give the interval of convergence of the new series. f(x) = ln (1-x) = - for -1 < x < 1,
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. f(x)=√x, a = 8
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence. 3k X 27k Σ(-1)*;
Use the power series representationto find the power series for the following functions (centered at 0). Give the interval of convergence of the new series. f(x) = ln (1-x) = - for -1 < x < 1,
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. f(x) = sinx, a = π/4
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. 91 = D¹xA = (x)f v'x/ Vx, a
Apply the Midpoint and Trapezoid Rules to the following integrals. Make a table similar to Table 7.5 showing the approximations and errors for n = 4, 8, 16, and 32. The exact values of the integrals
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. f(x) = ln x, a e =
a. Find the nth-order Taylor polynomials for the given function centered at the given point a, for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function. f(x) = tan¯¹x + x² + 1, a = 1
Evaluate the limit of the sequence or state that it does not exist. an || u8 n!
Evaluate the limit of the sequence or state that it does not exist. an || 1 + 32n n
Evaluate the limit of the sequence or state that it does not exist. an || n² + 4 2 4n² + 1
Evaluate the limit of the sequence or state that it does not exist. απ n sin πη 6
Evaluate the limit of the sequence or state that it does not exist. an = Vn
Evaluate the limit of the sequence or state that it does not exist. 2 an=n-√n²-1
Evaluate the limit of the sequence or state that it does not exist. an (-1)^ 0.9"
Evaluate the limit of the sequence or state that it does not exist. an = tann
Evaluate the limit of the sequence or state that it does not exist. an || n 1/Inn
Determine whether the following series converge. 20 (-1)k Σ Ed2k + 1
Evaluate the following infinite series or state that the series diverges. 10
Evaluate the following infinite series or state that the series diverges. 200 Σ3(1.001)* k=1
Determine whether the following series converge. (−1)kk k=j3k + 2 Σ
Evaluate the following infinite series or state that the series diverges. 00 (-3)* 5 k=0
Determine whether the following series converge. [=y (-1)^ Vk
Determine whether the following series converge. Σε (1+1) (-1) k=1
Evaluate the following infinite series or state that the series diverges. k=1 3 3k 2 3 3k + 1/
Evaluate the following infinite series or state that the series diverges. 00 k=1 1 k(k + 1)
Determine whether the following series converge. k=1 (-1)^+1 k³
Evaluate the following infinite series or state that the series diverges. k=2 1 Vk 1 Vk - 1
Evaluate the following infinite series or state that the series diverges. k=1 2k 3k+2
Determine whether the following series converge. (-1) kok² + 10 k=0
Determine whether the following series converge. 00 k² Σ(-1)*+1, k³ + 1 k=1
Evaluate the following infinite series or state that the series diverges. 00 24-3 k=1 3k
Determine whether the following series converge. 100 Σ(-1) Ink k=2 k2
Evaluate the following infinite series or state that the series diverges. k+1 Σ[(3) -(3)*]
Determine whether the following series converge. 200 Σ(-1)*! k=2 k2 - 1 + 3
Determine whether the following series converge. 00 ( k 5 0
Determine whether the following series converge. Σε (1+1) (-1)
Use convergence or divergence test to determine whether the following series converge or diverge.Data from in divergence test 00 2 k=1k3/2
Alternating Series Test Determine whether the following series converge.Data from in Alternating Series Test kl0 + 2k5 + 1 10 k(kl + 1) Σ(-1)*+1. k=1
Use a convergence test of your choice to determine whether the following series converge or diverge. 8 k=1 2k² + 1 √k³ +2
Determine whether the following series converge. 00 k=1 COS Tk k²
Use a convergence test of your choice to determine whether the following series converge or diverge. 00 Σκ-2/3 k=1
Determine whether the following series converge. (-1)k 2 k=2 k ln² k 00
Use convergence or divergence test to determine whether the following series converge or diverge. 00 2k k=1 ek
Determine whether the following series converge. 200 Σ(-1)*+1. kk
Use convergence or divergence test to determine whether the following series converge or diverge. k=1 (₁ k k+ 3, 2k
Determine whether the following series converge. 00 Σ(-1)*+11/k k=1
Use a convergence test of your choice to determine whether the following series converge or diverge. 00 Σk sin k=1 k
Determine whether the following series converge. Σ(-1)* k sin - 1 k k=1
Use a convergence test of your choice to determine whether the following series converge or diverge. لنا 3 2 + ek
Use a convergence test of your choice to determine whether the following series converge or diverge. 8 2kk! kk
Use a convergence test of your choice to determine whether the following series converge or diverge. 1 Σ· k=1 VkVk + 1
Determine whether the following series converge. (-1)k Σ k=0Vk2 + 4 k²
Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10-4. Although you do not need it, the exact value of the series is given in each
Use convergence or divergence test to determine whether the following series converge or diverge. 8 00 Sket k=1
Use a convergence test of your choice to determine whether the following series converge or diverge. 2 k=4 k² - 10
Use a convergence test of your choice to determine whether the following series converge or diverge. 00 k=1 k 3
Use a convergence test of your choice to determine whether the following series converge or diverge. 8 k=1 1 1 + Ink
Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10-4. Although you do not need it, the exact value of the series is given in each
Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10-4. Although you do not need it, the exact value of the series is given in each
Use a convergence test of your choice to determine whether the following series converge or diverge. 00 k=1 In k² 2 k² 2
Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10-4. Although you do not need it, the exact value of the series is given in each
Use a convergence test of your choice to determine whether the following series converge or diverge. 00 k=1 ke k
Use a convergence test of your choice to determine whether the following series converge or diverge. 00 k=0 2.4k (2k + 1)!

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