What is the sum from n=0 to infinity of (2^n)/(n^4) ?

The sum from n=0 to infinity of (2^n)/(n^4) is diverges

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sum from n=0 to infinity of (2^n)/(n^4)

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

diverges

Solution steps

n = 1 \sum \infty \frac{2 ^{n}}{n ^{4}}

Apply Series Ratio Test:

diverges

= diverges

n = 1 \sum \infty (0.7)^{n}

n = 0 \sum \infty (- \frac{1}{3})^{n - 1}

k = 0 \sum \infty (\frac{1}{19})^{k}

n = 1 \sum \infty (\frac{3}{2})^{3 - 2 n}

n = 0 \sum \infty 6 (\frac{8}{9})^{n}

What is the sum from n=0 to infinity of (2^n)/(n^4) ?
The sum from n=0 to infinity of (2^n)/(n^4) is diverges