obtain a power series representatiion for sin(h) by integrating the given series term by term from 0 to x.?

Question

given cos (h) = summation notation symbol(0 to infinity) of x^(2n)/(2n)! for all x.

thanks a lot for the helping hand...

Answer 1

First, that is not the McLaurin series for cos (h), it is the series for cosh (x). Also, the result of integrating term by term will give sinh (x), not what you wrote. Finally, anyone who cannot find the antiderivative of x^(2n)/n! has been relying too heavily on Yahoo Answers and should start doing his own work.