Presentation on theme: "4.4 L’Hôpital’s Rule. Zero divided by zero can not be evaluated, and is an example of indeterminate form. Consider: If we direct substitution, we get:"— Presentation transcript:
Now it is in the form This is indeterminate form L’Hôpital’s rule applied once. Fractions cleared. Still L’Hôpital again.Example
Indeterminate Forms: Evaluating these forms requires a mathematical trick to change the expression into a fraction. When we take the log of an exponential function, the exponent can be moved out front. We can then write the expression as a fraction, which allows us to use L’Hôpital’s rule. We can take the log of the function as long as we exponentiate at the same time. Then move the limit notation outside of the log.