Limits involving natural exponential

[synergix]

Homework Statement

lim e^3/(2-x)
x->2⁺

The Attempt at a Solution

I can't seem to get started on this one.

 

[Dick]

What's the behavior of 3/(2-x) like as x->2+?

 

[synergix]

e will be raised to a larger and larger negative number as x approaches 2+ and so the limit will approach 0.

 

[Dick]

e will be raised to a larger and larger negative number as x approaches 2+ and so the limit will approach 0.

Sure, absolutely.