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n**(c/n) → 1 as n → ∞, for, I think, any positive c. But why?

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- #1

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n**(c/n) → 1 as n → ∞, for, I think, any positive c. But why?

- #2

Dick

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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.

n**(c/n) → 1 as n → ∞, for, I think, any positive c. But why?

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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.Take the log and look at the limit of that. Use l'Hopital's rule, if it doesn't seem intuitive.

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