Maclaurin series problem

1. Apr 11, 2005

tandoorichicken

We learned that the Maclaurin series for sin(x) was

$$\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n+1}}{(2n+1)!}$$

Is the Maclaurin series for sin(2x) the same, except with x replaced by 2x?

2. Apr 11, 2005

dextercioby

That's right.

Daniel.