Uniform convergence of a series.

[missavvy]

Homework Statement

Prove the series converges uniformly on R to functions which are continuous on R.

$$\sum$$n$$\geq$$0 (-x)²ⁿ⁺¹/(2n+1)!

Homework Equations

The Attempt at a Solution

I'm having trouble actually figuring out what to use for this series..
It looks like a Taylor series but at the same time it looks like I could use W-M? Perhaps both?
Any hints are appreciated!

 

[tiny-tim]

hi missavvy!

(have a sigma: ∑ and a ≥ )

hint: compare it to the full series (with the even numbers filled in)

(if it helps, try it with ∑ x²ⁿ⁺¹/(2n+1)! first)