4.) Find the x-values(if any) at which f is not continuous. Which of the discontinuities are...

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4.) Find the x-values(if any) at which f is not continuous. Which of the discontinuities are removable? Explain mathematically. a.) f(x)=x2- 6.) Find lim h→0 5.) Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem for f(x) = x² - 6x + 8, [0,3], and f(c) = 0 every f(x+h)-f(x) h b.) f(x) = 1 for f(x) = x² +2 x²-9, if x = 3 x-3 4, x = 3 7.) Find the vertical asymptotes(if any) for a.) f(x) 2x²+2x-12 x4-2x3-9x²+18x 8.) Find the constant a such that the function f(x) everywhere. Explain mathematically. 4) f(x) ==== 14-1 gent line b.) f(x) = tan лx = x²-a² x-a , x = a 8, x = a is continuous 9.) Given the function f(x) = 2x² + x - 1 a.) Compute the derivative of f(x) using the limit definition of the derivative. No shortcuts and show all work. b.) Find the equation of the tangent line to the curve at the point (−2,5) 10.) Find the first derivative of the following functions. Clean up and simplify 2 + 3 cos x 4-3x-x² a.) f(x) b.) f(x) = √/x x²-1 = 4.) Find the x-values(if any) at which f is not continuous. Which of the discontinuities are removable? Explain mathematically. a.) f(x)=x2- 6.) Find lim h→0 5.) Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem for f(x) = x² - 6x + 8, [0,3], and f(c) = 0 every f(x+h)-f(x) h b.) f(x) = 1 for f(x) = x² +2 x²-9, if x = 3 x-3 4, x = 3 7.) Find the vertical asymptotes(if any) for a.) f(x) 2x²+2x-12 x4-2x3-9x²+18x 8.) Find the constant a such that the function f(x) everywhere. Explain mathematically. 4) f(x) ==== 14-1 gent line b.) f(x) = tan лx = x²-a² x-a , x = a 8, x = a is continuous 9.) Given the function f(x) = 2x² + x - 1 a.) Compute the derivative of f(x) using the limit definition of the derivative. No shortcuts and show all work. b.) Find the equation of the tangent line to the curve at the point (−2,5) 10.) Find the first derivative of the following functions. Clean up and simplify 2 + 3 cos x 4-3x-x² a.) f(x) b.) f(x) = √/x x²-1 =

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