What is the sum from n=1 to infinity of n^5(1+n^6)^5 ?

The sum from n=1 to infinity of n^5(1+n^6)^5 is diverges

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sum from n=1 to infinity of n^5(1+n^6)^5

n = 1 \sum \infty n^{5} (1 + n^{6})^{5}

diverges

Solution steps

n = 1 \sum \infty n^{5} (1 + n^{6})^{5}

Apply Series Divergence Test:

diverges

= diverges

\frac{d}{d x} ((x^{- 2} + x^{- 3}) (x^{5} - 2 x^{2}))

\int cos^{5} (2 y) d y

\frac{d}{d x} (cos (x^{- 3}))

(- 4, - 4), (2, 5)

f (x) = x, g (x) = x

What is the sum from n=1 to infinity of n^5(1+n^6)^5 ?
The sum from n=1 to infinity of n^5(1+n^6)^5 is diverges