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Math Help - Need Help solving limit question

  1. #1
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    Need Help solving limit question

    Hey, my problems is

    what is the limit as x goes to 0 of

    (1+x)^(1/x)

    the answer is e but how to i prove that on paper?
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  2. #2
    Eater of Worlds
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    Use the sub t=1/x.

    After the sub you will get a famous limit involving e that can be found in any calc book.
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  3. #3
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    Smile

    Hi


    lim as x--->0 (1+x)^1/x=expoenential =e
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  4. #4
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by pdkx7x View Post
    Hey, my problems is

    what is the limit as x goes to 0 of

    (1+x)^(1/x)

    the answer is e but how to i prove that on paper?


    This is the more analytic way of solving the limit.

    Does this make sense?

    --Chris
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