Question: Infinite Sequences and Series II

The series Converges to for all x.

a) Find a series for. How is it related to the series for? Explain your answer.

b) Find a series for How is it related to the series for? Explain your answer.

Given the above problem, provide written responses to address the following points as precisely and thoroughly as possible.

A. Explain the problem in your own words.

B. What mathematical concepts learned in this module apply to this problem?

C. Explain the steps you must take to solve this problem.

D. What is the most difficult aspect of solving this problem?

E. Explain exactly what the answer means from a mathematical perspective.