What is the sum from k=0 to infinity of 5x^k ?

The sum from k=0 to infinity of 5x^k is Radius of convergence is 1, Interval of convergence is-1<x<1

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sum from k=0 to infinity of 5x^k

k = 0 \sum \infty 5 x^{k}

Radius of convergence is 1, Interval of convergence is - 1 < x < 1

Solution steps

k = 0 \sum \infty 5 x^{k}

Use the Ratio Test to compute the convergence interval

Radius of convergence is 1, Interval of convergence is - 1 < x < 1

\frac{s + 5}{s ^{2} - 4 s + 4}

\frac{d}{d x} (sin (2 arcsec (x)))

- 4 e^{(- 2 s)} \cdot \frac{1}{s - 3}

x^{(3)} + a \cdot x^{(2)} + b \cdot x + c

\frac{d}{d x} (2 x - 9)

What is the sum from k=0 to infinity of 5x^k ?
The sum from k=0 to infinity of 5x^k is Radius of convergence is 1, Interval of convergence is-1<x<1