Original
There is a standard trick for dealing with the indeterminate forms
{{MATH_172}}
Given {{MATH_173}} and {{MATH_174}} such that
{{MATH_175}}
falls into one of the categories described above, rewrite as
{{MATH_176}}
and then we rewrite as
{{MATH_177}}
Recall that the exponential function is continuous. Therefore
{{MATH_178}}
Now we will focus on the limit
{{MATH_179}}
using L'H{{CMD_180}}pital's rule. (After calculating this limit, don't forget to plug back into the exponential.)