Determine if the following series converges. If it converges, determine whether it is absolutely or conditionally convergent and how many terms of the series must be summed to be sure the remainder is less than 10-4. The sum from k=0 to infinity of: [(-1)k/(2k+1)]

(- 1)7+(n+2) n(n+ 1) 1. Determine if the series converges absolutely, converges conditionally, or diverges. You may use any test(s) learned so far in the course. n=1

im Y cosx tZx5 又ナ。 7x¢

Consider the function 1 1- x4 Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were E, 3"x2n, you would write 1 + 3x? + 3?x* + 33x° + 34x$. Also indicate the radius of convergence. Partial Sum: Radius of Convergence: ..