What is the sum from n=1 to infinity of 1/n+1/(n^2) ?

The sum from n=1 to infinity of 1/n+1/(n^2) is diverges

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sum from n=1 to infinity of 1/n+1/(n^2)

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

diverges

Solution steps

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

Apply Series Comparison Test:

diverges

= diverges

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x \to \infty lim (ln (x))

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\int \frac{1}{( 324 + x ^{2} ) ^{\frac{3}{2}}} d x

2 tan^{2} (2 x)

What is the sum from n=1 to infinity of 1/n+1/(n^2) ?
The sum from n=1 to infinity of 1/n+1/(n^2) is diverges