Proving Limits of Series: Integral Test

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SUMMARY

The discussion centers on proving the limit of the series as k approaches infinity for the expression k^(1/k), which converges to 1. Participants clarify that the Integral Test is not applicable in this case since it does not pertain to a series. Instead, the use of logarithmic properties and l'Hôpital's Rule is recommended for proving the limit effectively.

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trap101
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Hi

So I can't remember if I did or didn't prove that lim as k--> ∞ of k1/k is equal to 1.


Is it the integral test that shows its convergence?
 
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Integral test? No. How would that work? It's not even a series. Any second guesses? Try taking a log and using l'Hopital.
 
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That's what it was. Thank you sir.
 

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