Question

Finding convergence or divergence of the sum from 1 to infinity of (n+5)/((n^7+n^2)^(1/3))?

Answer 1

This looks like a comparison test followed by a p-series test, but I don't know what to compare it to that would be smaller than it, have an integer p, and not be a harmonic series. (This is convergent, right? Because the denominator grows faster than the numerator.)

Answer 2

I'm pretty sure it's convergent, but this is a problem similar to the one on my last test that stumped me. lol. hmmmm

Answer 3

Lol, okay. Thanks.

Answer 4

Not sure if it's correct or not, but I distributed the exponent in the denominator & then used the ratio test.... I got Absolutely Convergent as the answer.