What is the sum from n=0 to infinity of (pi^n)/(e^n) ?

The sum from n=0 to infinity of (pi^n)/(e^n) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sum from n=0 to infinity of (pi^n)/(e^n)

n = 0 \sum \infty \frac{π ^{n}}{e ^{n}}

diverges

Solution steps

n = 0 \sum \infty \frac{π ^{n}}{e ^{n}}

Apply Series Ratio Test:

diverges

= diverges

t \to 1 lim (7 e^{t} - 3)

a re a y = \frac{x ^{2} + 4}{3 x - x ^{2}}, (1, 2)

d er i v a t i v e (arccot (x))^{5}

\frac{d}{d x} (3 cos (x) - 5 cot (x))

(x y^{2}) d x + (1 + x^{2} y) d y = 0

What is the sum from n=0 to infinity of (pi^n)/(e^n) ?
The sum from n=0 to infinity of (pi^n)/(e^n) is diverges