What is the sum from n=1 to infinity of n^2*e^{-n^3} ?

The sum from n=1 to infinity of n^2*e^{-n^3} is converges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sum from n=1 to infinity of n^2*e^{-n^3}

n = 1 \sum \infty n^{2} \cdot e^{- n^{3}}

converges

Solution steps

n = 1 \sum \infty n^{2} e^{- n^{3}}

Apply Series Ratio Test:

converges

= converges

\int \frac{3 x ^{2}}{( x ^{3} + 1 ) ^{2}} d x

x \to 0 + lim (x^{4} ln (x))

2 cos (2 y)

\int_{0}^{2} 4 x^{2} d x

\frac{\partial}{\partial x} (ln (1 - 2 x))

What is the sum from n=1 to infinity of n^2*e^{-n^3} ?
The sum from n=1 to infinity of n^2*e^{-n^3} is converges