find the limit last one

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January 29th 2009, 09:20 PM
vinson24

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
January 29th 2009, 09:22 PM
Chris L T521

Quote:

Originally Posted by vinson24

limit as x approaches 0 of (1+x)^1/3x
answer need to be in the form of e does u=3x

That...or $\lim_{x\to0}\left[\left(1+x\right)^{\frac{1}{x}}\right]^{\frac{1}{3}}=\dots$
January 29th 2009, 09:22 PM
Isomorphism

Quote:

Originally Posted by vinson24

limit as x approaches 0 of (1+x)^1/3x
answer need to be in the form of e does u=3x

$(1+x)^{\frac1{3x}} = ((1+x)^{\frac1{x}})^{\frac13}$
January 29th 2009, 09:24 PM
vinson24

thanks cant believe i didnt see that

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