Find the Taylor Series Centered At $x=0$ (IEThe Maclaurin Series)for $\sin \left(x^{2}\right)$

Multiple Choice

Find the Taylor series centered at $x=0$ (i.e.the Maclaurin series) for $\sin \left(x^{2}\right)$ .

A) $\sum_{i=0}^{\infty} \frac{(-1) ^{i} x^{4 i+3}}{(4 i+1) !}$
B) $\sum_{i=0}^{\infty} \frac{(-1) ^{i} x^{4 i+2}}{(2 i+1) !}$
C) $\sum_{i=0}^{\infty} \frac{(-1) ^{i} x^{4 i}}{(2 i) !}$
D) $\sum_{i=0}^{\infty} \frac{(-1) ^{i} x^{4 i+1}}{(4 i) !}$