Help with series
Hello everyone, I'm kind of new here so wasn't sure where to post a series problem.
How would one go about summing
I've tried to find similarities between it and the taylor series of hyperbolic cosine, but it isn't really working. I've tried repeated integration to derive a result with the factorial in the denominator but again, I get a non-convergent integral. Any help would be appreciated, thank you.
Re: Help with series
Your problem has a straight forward solution, but the details require some computation. The attachment shows how to solve the problem, but I left the algebraic details to you: