What is the sum from n=1 to infinity of 3/(n^4) ?

The sum from n=1 to infinity of 3/(n^4) is converges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sum from n=1 to infinity of 3/(n^4)

n = 1 \sum \infty \frac{3}{n ^{4}}

converges

Solution steps

n = 1 \sum \infty \frac{3}{n ^{4}}

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= 3 \cdot n = 1 \sum \infty \frac{1}{n ^{4}}

Apply p-Series Test:

converges

= 3 converges

= converges

What is the sum from n=1 to infinity of 3/(n^4) ?
The sum from n=1 to infinity of 3/(n^4) is converges