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Homework Help: Limits with square roots

  1. Jan 18, 2013 #1
    My book is showing this as an intuitive step, but I'm not quite seeing the reasoning behind it.

    n**(c/n) → 1 as n → ∞, for, I think, any positive c. But why?
  2. jcsd
  3. Jan 18, 2013 #2


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    Take the log and look at the limit of that. Use l'Hopital's rule, if it doesn't seem intuitive.
    Last edited: Jan 18, 2013
  4. Jan 18, 2013 #3
    Thank you very much. I was looking for things to cancel out, since it was written as if it was a basic arithmetic step, and kept backing into the same wall.
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