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

The sum from n=1 to infinity of cos(npi) is diverges

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sum from n=1 to infinity of cos(npi)

n = 1 \sum \infty cos (nπ)

diverges

Solution steps

n = 1 \sum \infty cos (nπ)

Apply Series Divergence Test:

diverges

= diverges

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What is the sum from n=1 to infinity of cos(npi) ?
The sum from n=1 to infinity of cos(npi) is diverges