What is the sum from n=0 to infinity of (5x)^n ?

The sum from n=0 to infinity of (5x)^n is Interval of convergence is-1/5 <x< 1/5

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 (5x)^n

n = 0 \sum \infty (5 x)^{n}

Interval of convergence is - \frac{1}{5} < x < \frac{1}{5}

Solution steps

n = 0 \sum \infty (5 x)^{n}

Use the Root Test to compute the convergence interval

Interval of convergence is - \frac{1}{5} < x < \frac{1}{5}

\frac{1}{1 - x ^{2}}

y = x, (4, 2)

\frac{d}{d x} (3 x^{2} + 12 x + 9)

\int \frac{1}{36 e ^{- 5 x} + e ^{5 x}} d x

(4) (8.8)

What is the sum from n=0 to infinity of (5x)^n ?
The sum from n=0 to infinity of (5x)^n is Interval of convergence is-1/5 <x< 1/5