Use the Taylor Series For $f(x)=\cos (x)$ At X = 0 to Find the Taylor Series For 0

Multiple Choice

Use the Taylor series for $f(x) =\cos (x)$ at x = 0 to find the Taylor series for $\cos (\sqrt{x})$ at x = 0.

A) $1-x+\frac{x^{2}}{2 !}-\frac{x^{3}}{3 !}+\cdots$
B) $1-\frac{x}{2 !}+\frac{x^{2}}{4 !}-\frac{x^{3}}{6 !}+\cdots$
C) $\sqrt{x}-\frac{x}{2 !}+\frac{x^{3 / 2}}{4 !}-\frac{x^{2}}{6 !}+\cdots$
D) $\sqrt{x}-x+\frac{x^{3 / 2}}{2 !}-\frac{x^{2}}{3 !}+\cdots$