Let be such that . From what you wrote, , so...
I have attached the question.
I have expanded using the binomial theorem, and the question after it I assume they want me to use the very same theorem to prove the convergence.
So this is what I had done;
I'm not sure how to prove convergence from then on, but I am guessing the Sandwich Rule would need to be used here at one point.
Any hints/tips?