L'Hospitals Rule

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What is L'Hôpital's Rule?

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L'Hôpital's Rule is a method for finding limits of indeterminate forms (0/0 or ∞/∞) by differentiating the numerator and denominator.

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When can L'Hôpital's Rule be applied?

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L'Hôpital's Rule can be applied when evaluating limits that result in the indeterminate forms 0/0 or ∞/∞.

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What is the first step in applying L'Hôpital's Rule?

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The first step is to confirm that the limit results in an indeterminate form (0/0 or ∞/∞).

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What do you do after applying L'Hôpital's Rule once?

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After applying L'Hôpital's Rule, you take the limit of the derivatives of the numerator and denominator. If the result is still indeterminate, you can apply the rule again.

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The limit is 1.

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The limit is -1.

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The limit is ∞.

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The limit is 1.

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