What is the sum from n=0 to infinity of (5n+1)(-x)^n ?

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

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sum from n=0 to infinity of (5n+1)(-x)^n

n = 0 \sum \infty (5 n + 1) (- x)^{n}

Interval of convergence is - 1 < x < 1

Solution steps

n = 0 \sum \infty (5 n + 1) (- x)^{n}

Use the Ratio Test to compute the convergence interval

Interval of convergence is - 1 < x < 1

x \to (1) + lim (x - 1)

ln (x + x^{2} + 1)

f (x) = \frac{1}{1 + e ^{- x}}

\frac{d}{d x} ((x + 1) e^{x^{2} - 4})

\int cos (\frac{π}{2} x) d x

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