Verified answer

Its the definition of e

e^a= lim (1+a/x)^x

x→∞

So the answer is e^2

Using L. hospital i don't know. Sorry bro.

http://www.wolframalpha.com/input/?i=lim+x-%3E+inf...

Click on show steps. If the link doesn't work type in limit x->infinity of (1+2/x)^x then click show steps.

De L'Hospital rule is applied to function like this -----

limx--->a {f(x)}/{g(x)} = limx-->a {f'(x)}/{ g'(x)}