
Series Converges
$\displaystyle f(x) = \sum_{n=0}^{\infty}(1)^{n}\frac{x^{2n}}{(2n)!}$
Let f be defined by the series for all x where the series converges
A. What is the domain
B. Is f odd, even or neither
C. Assuming that derivatives can be computed term by term show that f'' = f

Re: Series Converges
A. Use ratio test.
B. What about the function $\displaystyle x\mapsto x^{2n}$?
C. What have you done?

Re: Series Converges
You in Leache's class?
hahah
Anyway, for A domain should be infinity.
I haven't found an answer for B (could be neither)
and for C http://www.math.sunysb.edu/~disconzi...ging_index.pdf

Re: Series Converges
AHHH HAHA
THANKS This problem is killing me....