lim((x(1+x)^(1/x) - x)(1+(x(1+x)^(1/x) - x))^(1/(x(1+x)^(1/x) - x)) - (x(1+x)^(1/x) - x))/(log(log(x)))

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.