how can I show that series sigma(n=1 to infinity) cos(npi/3) / n! is convergent using the...

Question

Question

how can I show that series sigma(n=1 to infinity) cos(npi/3) / n! is convergent using the ratio test?

math calculus

Answer 1

Answer #1

n=1 Los (n) m! ano cos(n) n! antia cos (Int) (A)! anal _ Ratio Test L = lim n-you Then, 1. If L<1 a series is convergent 2. I

since cos is periodie, we can find out that this quantity com only ever be cos (o)=1 of cos (2/2) = 3 Therefore cos (n) 74 so

Answer 2

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