(10 points) Use the limit comparison test to determine wheher the sequence is convergent or divergent; 2. (10 points) Use the alternating series test to determine wheher the series is convergent or divergent; Vn 272 + 3 n=1 3. (10 points) Use the integral test to determine wheher the sequence is convergent or divergent; In (n) n2 n=1 4. (10 points) Find a power series representation for the function and determine the radius of convergence; f(x) = In(3 - x). 5. (10 points) Find the Maclaurin series of f(x) = e-2r. 6. (10 points) Find the Taylor series of f (x) = cos r centered at a = 7/2. 7. (10 points) Determine whether the series is conditionally convergent, absolutely convergent, or divergent; (-1)"(n + 1)3" 22n+18. (10 points) Evaluate the integral; a sina de 9. (10 points) Evaluate the integral; 73 - 20'+ 1 10. (10 points )Evaluate the integral; -TT / 2 sin" (r) cos (x) da