Determine if series converges or diverges Determine whether the series co infini

Question

Determine if series converges or diverges

Determine whether the series co infinity n = 1 n / n2 + 10 Choose the correct answer below. The comparison test with Choose the correct answer below. The comparison test with infinity n=1 1 / n 0.5 shows that the series diverges. The comparison test with shows with infinity n=1 1 / n 0.5 that the series converges. The comparison test with infinity n=1 1 / n 1.5 that the series converges. The comparison test with infinity n=1 1 / n 1.5 that the series diverges.

Explanation / Answer

Compaison test. choose the highest n term on top and bottom you get

Bn = n^(1/2)/n^2

= 1/n^(3/2)

Since Bn converges with p-series (power is greater than 1)

This CONVERGES

OPTION C

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