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

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

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

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

converges

Solution steps

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

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^{n} (10) - cos^{0} (10)

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

converges

= converges - cos^{0} (10)

= converges

n = 0 \sum \infty (1 - \frac{2}{n})^{3 n}

k = 0 \sum \infty (- \frac{4}{7})^{k}

n = 0 \sum \infty sin (\frac{πn}{2})

n = 1 \sum \infty \frac{( 0.99 ) ^{n}}{n}

k = 0 \sum \infty 3 (- \frac{1}{4})^{k}

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