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It's legitimate to use l'Hospital's Rule when you have an expression which, at the limit, would become
-- zero over infinity,
-- zero over zero, or -- infinity over infinity .

Answered by AL2006 | 2024-06-10

L'Hospital's rule is used to evaluate limits involving indeterminate forms such as 0/0 or ∞/∞. It states that if the limit of the ratio of two functions is in an indeterminate form, then you can differentiate both the numerator and the denominator and then take the limit again. If the new limit exists or is in another indeterminate form, you can apply L'Hospital's rule again until a determinate limit is obtained.
Here's a step-by-step guide on when to use L'Hospital's rule:

Determine if the limit you are dealing with is in an indeterminate form such as 0/0 or ∞/∞.
Try to simplify the expression, if possible, by factoring or using algebraic manipulation.
If the limit is still indeterminate, apply L'Hospital's rule by differentiating the numerator and denominator.
Evaluate the new limit.
If the new limit is still indeterminate, repeat steps 3 and 4 until a determinate limit is obtained.

Answered by OdetteAnnable | 2024-06-24

L'Hôpital's Rule is applied when evaluating limits results in indeterminate forms like 0 0 ​ or ∞ ∞ ​ . To use it, differentiate the numerator and denominator until you can evaluate the limit. This method is particularly useful for simplifying complex limit problems.
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Answered by AL2006 | 2024-12-28

Jawaban:BAKEKOKPenjelasan dengan langkah-langkah:Bakekokkkkkkkklll

Answered by samuelmanihuruk199 | 2025-07-09