- #1

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## Main Question or Discussion Point

Though I know that the limit as x approaches 0 of x^x is 1, I can't prove it...

...can anyone please help me?

...can anyone please help me?

- Thread starter marshmellow
- Start date

- #1

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Though I know that the limit as x approaches 0 of x^x is 1, I can't prove it...

...can anyone please help me?

...can anyone please help me?

- #2

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hint: ask yourself what x to the 0 power is.

- #3

lurflurf

Homework Helper

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hint write

x^x=exp(log(x)/(1/x))

x^x=exp(log(x)/(1/x))

- #4

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certainly you will succeed in proving that the limit for x^x is 1 while x tends to 0.

But remember, this doesn't prove that 0^0 = 1 and most certainly not the uniqueness of 0^0 as limit of x^y while both x and y tend to 0.

- #5

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http://pokit.etf.ba/get/e57018aced28181afefff3a8e5a3e402.jpg [Broken]

there you go, njoy

there you go, njoy

Last edited by a moderator:

- #6

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thank you very much, i'm actually quite disappointed i can't think that creatively

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