What is the sum from n=0 to infinity of (cos(1))^n ?

The sum from n=0 to infinity of (cos(1))^n is converges

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sum from n=0 to infinity of (cos(1))^n

n = 0 \sum \infty (cos (1))^{n}

converges

Solution steps

n = 0 \sum \infty (cos (1))^{n}

Apply Series Ratio Test:

converges

= converges

n = 2 \sum \infty (\frac{1}{ln ( n )}) n

n = 1 \sum \infty - 5

n = 0 \sum \infty \frac{n}{n ^{4} + 9}

n = 1 \sum \infty \frac{1}{6 n - 1}

n = 1 \sum \infty \frac{n ^{4}}{6 ^{n}}

What is the sum from n=0 to infinity of (cos(1))^n ?
The sum from n=0 to infinity of (cos(1))^n is converges