zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的微积分 >

sum from k=2 to infinity of ke^{-3k^2}

解答

k = 2 \sum \infty k e^{- 3 k^{2}}

解答

收敛

求解步骤

k = 2 \sum \infty k e^{- 3 k^{2}}

使用级数比值审敛法:

收敛

= 收敛

流行的例子

sum from n=0 to infinity of 1/((2+n)^2)

n = 0 \sum \infty \frac{1}{( 2 + n ) ^{2}}

sum from n=0 to infinity of n^2e^n

n = 0 \sum \infty n^{2} e^{n}

sum from n=0 to infinity of (n^3)/(2-n)

n = 0 \sum \infty \frac{n ^{3}}{2 - n}

sum from n=1 to infinity of 2/(3n+3)

n = 1 \sum \infty \frac{2}{3 n + 3}

sum from n=1 to infinity of 6/n-6/(n^2)

n = 1 \sum \infty \frac{6}{n} - \frac{6}{n ^{2}}