The sum of a series:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum _{n=0} ^{\infty} \frac{2^{2n+1}x^{2n}}{n!}[/tex]

is:

a)[tex]2cos(2x)[/tex]

b)[tex]cos(x^2)[/tex]

c)[tex]e^{2x}[/tex]

d)[tex]2e^{2x^2}[/tex]

e) None of the above.

I have absolutely no idea how I would go about solving this. I know various tests for convergence and divergence, but the only methods I have to calculate sums are the geometric sum method, and the approximation method. I'm not sure how to solve this.

Any help is greatly appreciated, Thank You.

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# Homework Help: Infinite Series

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