What is the sum from n=0 to infinity of ((0.5)^n)/n ?

The sum from n=0 to infinity of ((0.5)^n)/n 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=0 to infinity of ((0.5)^n)/n

n = 0 \sum \infty \frac{( 0.5 ) ^{n}}{n}

converges

Solution steps

n = 1 \sum \infty \frac{0. 5 ^{n}}{n}

Apply Series Ratio Test:

converges

= converges

n = 1 \sum \infty 4 (0.9)^{n - 1}

n = 10 \sum \infty \frac{3}{n ^{4.6}}

n = 1 \sum \infty \frac{1}{2 n + 5}

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

n = 1 \sum \infty n (\frac{2}{5})^{n}

What is the sum from n=0 to infinity of ((0.5)^n)/n ?
The sum from n=0 to infinity of ((0.5)^n)/n is converges