- #1
dekoi
The sum of a series:
[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.
[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.