What is the sum from n=0 to infinity of 3x^n ?

The sum from n=0 to infinity of 3x^n is Radius of convergence is 1, Interval of convergence is-1<x<1

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sum from n=0 to infinity of 3x^n

n = 0 \sum \infty 3 x^{n}

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

Solution steps

n = 0 \sum \infty 3 x^{n}

Use the Ratio Test to compute the convergence interval

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

\int_{0}^{1} \frac{1}{1 + x ^{\frac{1}{3}}} d x

\frac{d ^{2}}{d x ^{2}} (sin (x) + cos (x))

7 cos (π x), 8 x^{2} - 2, - 0.5, 0.5

\int e^{\frac{x}{6}} d x

What is the sum from n=0 to infinity of 3x^n ?
The sum from n=0 to infinity of 3x^n is Radius of convergence is 1, Interval of convergence is-1<x<1