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Roee
  • Member for 4 years, 6 months
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Finding a variable P for which a sum converges
@AlapanDas I don't know how to prove that $ \left(1-\frac{1}{n}\right)^p $ diverges
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Finding a variable P for which a sum converges
@AlapanDas I've been taught that if $\lim _{n\to \infty \:}\left(\sqrt[n]{a_n}\right)=1$ the root test is indecisive, can you please explain further?
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Finding a variable P for which a sum converges
@GabeConant I've tried using the direct comprasion test on $a_n$ with the sequence $ (1-(1/n))^p $ which I know diverges, but I'm not sure how to prove it.
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Finding a variable P for which a sum converges
@DieterKadelka I've tried using the Stirling formula, but I didn't see where it can lead.
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Finding a variable P for which a sum converges