Do I even need to use L'Hopital's Rule for this

[tjohn101]

Homework Statement

Evaluate the limit analytically if necessary using L’Hopital’s rule:
lim x->0 (1+x)^1/x

Homework Equations

The Attempt at a Solution

Well, I can get the thing equal to 1 if I just plug in zero, so do I need to use L'hopital's? This whole thing is very confusing...

 

[Dick]

How can you 'plug in 0'?? 1/0 is undefined. Besides the limit isn't 1. I suggest you use l'Hopital.

 

[tjohn101]

To be honest, it's late and I've been doing this stuff for 9 hours straight. It didn't even cross my mind that 1/0 would be undefined.

 

[Dick]

Gotcha. So just take the log and use l'Hopital on the result.