What is the sum from n=1 to infinity of (cos(10))^n ?

The sum from n=1 to infinity of (cos(10))^n is converges

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sum from n=1 to infinity of (cos(10))^n

n = 1 \sum \infty (cos (10))^{n}

converges

Solution steps

n = 1 \sum \infty (cos (10))^{n}

n = k \sum \infty (a_{n}) = n = 0 \sum \infty (a_{n}) - a_{0} - a_{1} - \dots a_{k - 1}

= n = 0 \sum \infty (cos (10))^{n} - (cos (10))^{0}

n = 0 \sum \infty (cos (10))^{n} =

converges

= converges - (cos (10))^{0}

= converges

n = 1 \sum \infty 7 n^{2} e^{- n^{3}}

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

n = 1 \sum \infty \frac{1}{12 n + 11}

n = 3 \sum \infty (\frac{1}{4})^{n}

n = 1 \sum \infty \frac{1}{( ln ( n ) )}

What is the sum from n=1 to infinity of (cos(10))^n ?
The sum from n=1 to infinity of (cos(10))^n is converges