limits involving natural exponential

[synergix]

1. The problem statement, all variables and given/known data

lim e3/(2-x)
x->2+

3. 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.