What is the sum from n=1 to infinity of cos^n(1.6) ?

The sum from n=1 to infinity of cos^n(1.6) is converges

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sum from n=1 to infinity of cos^n(1.6)

n = 1 \sum \infty cos^{n} (1.6)

converges

Solution steps

n = 1 \sum \infty cos^{n} (1.6)

Simplify

cos (1.6) : - 0.02919 \dots

= n = 1 \sum \infty (- 0.02919 \dots)^{n}

Apply Series Ratio Test:

converges

= converges

\frac{d}{d x} (e^{x} x^{2})

\int (5 x^{2} + 7 x + 11) d x

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\frac{\partial}{\partial x} (cos^{6} (x^{9} y^{8}))

\frac{\partial}{\partial x} (ln (x^{4} + y^{9}))

What is the sum from n=1 to infinity of cos^n(1.6) ?
The sum from n=1 to infinity of cos^n(1.6) is converges