4. (5 pts) Determine whether the following series is absolutely convergent, conditionally convergent, or divergent. Show your work. '11. _ 11-1 _ \"Z; 1) 3112 + 2 . (5 pts) For what values of x is the power series convergent? Find the interval of convergence of the series. (2x - 1)n n= 1 5n . Vn 6. (10 pts) Consider the function f (x) = Inx. (1) Find the Taylor polynomial of degree 3 for f (x) centered at a = 3. (2) Use Taylor's Inequality to estimate the accuracy of this approximation for 2 S x S 4. Taylor's Inequality: | Rn (x) |