What is the sum from n=1 to infinity of ne^{3n} ?

The sum from n=1 to infinity of ne^{3n} is diverges

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sum from n=1 to infinity of ne^{3n}

n = 1 \sum \infty n e^{3 n}

diverges

Solution steps

n = 1 \sum \infty n e^{3 n}

Apply Series Ratio Test:

diverges

= diverges

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What is the sum from n=1 to infinity of ne^{3n} ?
The sum from n=1 to infinity of ne^{3n} is diverges