Uh oh! Wolfram|Alpha doesn't run without JavaScript.
Please enable JavaScript. If you don't know how, you can find instructions
here
.
Once you've done that, refresh this page to start using Wolfram|Alpha.
lim 2x(sqrt(x^2+1)-x) as x -> inf
lim 2x(sqrt(x^2+1)-x) as x -> inf
Natural Language
Math Input
Extended Keyboard