Integration by L' Hopital's Rule

This sample deals with exponential limits that result in indeterminate forms, specifically 00\frac{0}{0}.

We use this special trick: ln(y)=ln( in terms of x)\ln{(y)} = \ln{(\cdots \text{ in terms of } x \cdots)}.

This allows us to bring the exponent down into a multiplication relationship, convert it into a quotient, and use L' Hopital's Rule.

lhopital_ln

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