Original
Compute:
{{MATH_87}}
{{CMD_88}}
We find the form of this limit by looking at the limits of the
numerator and denominator separately. The limit of the numerator is:
{{ENV_89}}
The limit of the denominator is:
{{MATH_90}}
Our limit is therefore of the form {{CMD_91}}{{CMD_92}}and we can
probably factor a term going to {{MATH_93}} out of both the numerator and
denominator.
{{MATH_94}}
When looking at the denominator, we hope that this
term is {{MATH_95}}. Unfortunately, it is not immediately obvious how to
factor an {{MATH_96}} out of the numerator. So, we should first simplify the complex fraction
by multiplying it by
{{MATH_97}}
this will allow us to cancel immediately
{{ENV_98}}