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## Homework Statement

Ʃ (1+n+n

^{2})/(√1+n

^{2}+n

^{6})) n=1 to infinity

Answer is divergent

## Homework Equations

Comparison Test / P Series

0≤an≤bn

## The Attempt at a Solution

Hello, I simplified the problem to

Ʃ (1+n+n

^{2})/(1+n

^{2}+n

^{6})

^{1/2}

Is it incorrect of me to say immediately right here that because the power of the denominator p<1 it is divergent?

Or if I take a different approach use comparison test and say 0≤an≤1/(1+n

^{2}+n

^{6})

^{1/2}can I say it is divergent because bn is divergent due to p-series?

WA says it is divergent due to comparison test but how would I get something like say 1/n^6 out of that square root to use as bn?