# find the limit last one

• Jan 29th 2009, 10:20 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
• Jan 29th 2009, 10:22 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 $\lim_{x\to0}\left[\left(1+x\right)^{\frac{1}{x}}\right]^{\frac{1}{3}}=\dots$
• Jan 29th 2009, 10:22 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

$(1+x)^{\frac1{3x}} = ((1+x)^{\frac1{x}})^{\frac13}$
• Jan 29th 2009, 10:24 PM
vinson24
thanks cant believe i didnt see that