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limx→af(x)g(x)=limx→af′(x)g′(x)limit over x right arrow a of f of x over g of x end-fraction equals limit over x right arrow a of f prime of x over g prime of x end-fraction provided the limit on the right exists (or is ±∞plus or minus infinity Step-by-Step Application

L'Hôpital's Rule allows you to resolve indeterminate limits by differentiating the numerator and the denominator separately. Suppose that are differentiable and on an open interval that contains (except possibly at 4.7 / 10 ActionThri...

4.7 Using L'Hopital's Rule for Determining Limits of Indeterminate Forms - Calculus. flippedmath.com Calculus I - L'Hospital's Rule and Indeterminate Forms ✅ Result

limx→af(x)=0 and limx→ag(x)=0limit over x right arrow a of f of x equals 0 and limit over x right arrow a of g of x equals 0 4.7 / 10 ActionThri...

, can have a determined limit for their ratio based on their slopes (derivatives) at that point. ✅ Result

. If the result is still indeterminate, you can apply the rule again. Example Visualization The following graph illustrates how two functions, , both approaching zero at a point

limx→af(x)=±∞ and limx→ag(x)=±∞limit over x right arrow a of f of x equals plus or minus infinity and limit over x right arrow a of g of x equals plus or minus infinity