What is the sum from n=0 to infinity of q^n ?

The sum from n=0 to infinity of q^n is Radius of convergence is 1, Interval of convergence is-1<q<1

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sum from n=0 to infinity of q^n

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

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

Solution steps

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

Use the Root Test to compute the convergence interval

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

\int \frac{1 + 8 v}{- 16 v ^{2}} d v

x \frac{d y}{d x} = x^{2} + 3 y

\int \frac{( x - 2 )}{4 x - x ^{2}} d x

\frac{d}{d x} (\frac{x - 5}{x + 5})

(4, - 2), (- 5, 4)

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