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More Indeterminate Forms Section 8.1b. Indeterminate Forms Limits that lead to these new indeterminate forms can sometimes be handled by taking logarithms.

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Presentation on theme: "More Indeterminate Forms Section 8.1b. Indeterminate Forms Limits that lead to these new indeterminate forms can sometimes be handled by taking logarithms."— Presentation transcript:

1 More Indeterminate Forms Section 8.1b

2 Indeterminate Forms Limits that lead to these new indeterminate forms can sometimes be handled by taking logarithms first. use L’Hopital’s Rule to find the limit of the logarithm and then exponentiate to reveal the original function’s behavior: (Here a can be finite or infinite)

3 Indeterminate Forms Evaluate Anyone remember this definition??? Form Now apply the new rule to this last expression…

4 Indeterminate Forms Evaluate Anyone remember this definition??? Form Remember, we just found the limit of the logarithm of the function… Form

5 Indeterminate Forms Evaluate Anyone remember this definition??? Form Therefore,

6 Indeterminate Forms Evaluate First, investigate the graph Form

7 Indeterminate Forms Evaluate First, investigate the graph Form Therefore,

8 Indeterminate Forms Evaluate First, investigate the graph Form

9 Indeterminate Forms Evaluate First, investigate the graph Form Therefore,


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