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Thread: find the limit last one

  1. January 29th 2009, 09:20 PM #1
    vinson24
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    find the limit last one

    limit as x approaches 0 of (1+x)^1/3x
    answer need to be in the form of e does u=3x
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  2. January 29th 2009, 09:22 PM #2
    Chris L T521
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    Quote Originally Posted by vinson24 View Post
    limit as x approaches 0 of (1+x)^1/3x
    answer need to be in the form of e does u=3x
    That...or \lim_{x\to0}\left[\left(1+x\right)^{\frac{1}{x}}\right]^{\frac{1}{3}}=\dots
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  3. January 29th 2009, 09:22 PM #3
    Isomorphism
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    Quote Originally Posted by vinson24 View Post
    limit as x approaches 0 of (1+x)^1/3x
    answer need to be in the form of e does u=3x
    (1+x)^{\frac1{3x}} = ((1+x)^{\frac1{x}})^{\frac13}
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  4. January 29th 2009, 09:24 PM #4
    vinson24
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    thanks cant believe i didnt see that
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