Question

Find the sum of the series pi^n/e^(2n) from n=0 to infinity.

Answer 1

@dumbcow

Answer 2

its a geometric series so sum is defined as
\[\frac{a_0 (1-r^n)}{1-r}\]
\[a_0 = 1 , r = \frac{\pi}{e^2}\]
n -> infinity , r^n --> 0

Answer 3

Thank you.