Evaluating Limit of Expanded e^x: 0?

[zorro]

Homework Statement

I tried expanding e^x and evaluated the limit as 1.
The answer given is 0.

 

[Char. Limit]

How odd. The answer actually depends on the values of x... try a couple of values of x and you'll see what I mean. Might I recommend .75 and 2?

 

[zorro]

This question is actually a part of another one.

Got any idea now?

 

[Char. Limit]

Either there's a typo or you misread it. It should be as $$x\to\infty$$. Then it makes sense, especially since you're integrating over dx, not over dn.

 

[zorro]

Oh yes, that must be a typo. I got it now.
Thanks!

 

[hunt_mat]

To compute the limit as $$x\rightarrow\infty$$, set x=1/y amd examine the limit as $$y\rightarrow 0$$