Finding the sum of ∑(2^n)/(3^n·n!)

[ineedhelpnow]

$\sum_{n=0}^{\infty}\frac{2^n}{3^nn!}$

is this correct?

$\sum_{n=0}^{\infty}(\frac{2}{3})^n \frac{1}{n!}$

$\sum_{n=0}^{\infty}\frac{(x)^n}{n!}=e^x$

$x=2/3$

$e^x=e^{2/3}

 

[MarkFL]

Yes, that's correct. :D