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 diverges

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

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

diverges

Solution steps

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

Apply Series Divergence Test:

diverges

= diverges

x \to 0 lim (4 - ln (x))

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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 diverges