These are all one problem.

I expect to see beautiful hand writing.

Justification and explanation for each step is important.

3 4. [23 pts] Let f(2) = K 2 . 25k ( 2+ 2 ) 2 k + 1 k=1 a. Determine the radius of convergence of the power series.Problem 4 continued.... b. Determine the interval of convergence of the power series. If applicable, determine if the power series converges at the endpoints of the interval.Problem 4 continued.... c. Without doing any additional calculations, determine if f'(6) converges or diverges. You must justify your answer.