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Homework Statement
Ʃ (1+n+n2)/(√1+n2+n6)) 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+n2)/(1+n2+n6)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+n2+n6)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?