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JH
Numerade Educator

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Problem 16 Easy Difficulty

Determine whether the series is convergent or divergent.
$ \displaystyle \sum_{n = 1}^{\infty} \frac {\sqrt n}{1 + n^{3/2}} $

Answer

divergent

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Video Transcript

let's determine whether this syriza's conversion or diversion we can rewrite this now. This is bigger than or equal to. No so Syria and and radical end plus and radical. Why so sense? This is less than or equal to, so larger denominator means smaller fraction. So now we have the sun. We could cancel those. This is one half the harmonic series this time urges, Hey, here you can do the states of peace. Aires with P equals one. So by the comparison test, honey, our theories also beverages. Oh, and that's our final answer.