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

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

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sum from n=0 to infinity of r^n

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

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

Solution steps

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

Use the Root Test to compute the convergence interval

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

f (x) = x^{2} - 2, (- 3, 7)

\frac{( x + 1 ) d y}{d x} = x + 6

\int cos^{12} (x) sin (x) d x

\frac{d}{d x} (- 1 + e^{2 x})

y = e^{x}, y = e^{3 x}, x = 0, x = ln (4)

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