What is the sum from n=1 to infinity of cos(3/n) ?

The sum from n=1 to infinity of cos(3/n) is diverges

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sum from n=1 to infinity of cos(3/n)

n = 1 \sum \infty cos (\frac{3}{n})

diverges

Solution steps

n = 1 \sum \infty cos (\frac{3}{n})

Apply Series Divergence Test:

diverges

= diverges

n = 0 \sum \infty (\frac{1}{π})^{n}

n = 0 \sum \infty 2 (\frac{3}{4})^{n}

n = 1 \sum \infty n e^{- 7 n^{2}}

k = 0 \sum \infty (0.6)^{k}

n = 1 \sum \infty \frac{n ^{2}}{7 ^{n}}

What is the sum from n=1 to infinity of cos(3/n) ?
The sum from n=1 to infinity of cos(3/n) is diverges