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Prove that every nonnegative real number x has a unique nonnegative nth root x^(1/n).

The problem gives a hint - existence of x^(1/n) can be seen by applying intermediate value theorem to function f(t) = t^n for t>= 0.

But I still don't get it - proofs are such a hurdle for me. i'm hoping that I can get over that hurdle...soon...

Thanks!

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# Homework Help: Intermediate Value Theorem proof

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