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Numerade Educator

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Problem 14 Easy Difficulty

Determine whether the series is convergent or divergent.
$ 1 + \frac {1}{2 \sqrt 2} + \frac {1}{ 3 \sqrt 3} + \frac {1}{4 \sqrt 4} + \frac {1}{5 \sqrt 5} + \cdot \cdot \cdot $

Answer

Convergent

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Video Transcript

for this problem. Ah, it may be helpful. Toe right, the serious And it's a It's a form which is in this case, one over. We see we have the term multiply bites on square root. So that would be n times the square root of n going which, being in mind that the square root is same as the one half power That's one over end times into the one half, which is one over ten. The three has power and this is a P series. Ah, so that's why when you have something one over into the P in this case, he is greater than one, which implies that the Siri's is convergence.