Find the Taylor series about a=0 for the function F(x) = \cos(\sqrt{x}).
Taylor series expansion of a function f(x) about a
\sum^{\infty}_0 \frac{f^{(n)}(a)}{n!}(x-a)^n
Taylor series of \cos{x} about a=0 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} \ldots
From these...