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

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

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sum from n=1 to infinity of sin(1/((n)))

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

diverges

Solution steps

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

Apply Series Limit Comparison Test:

diverges

= diverges

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