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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

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

: First, evaluate the limit directly. If it yields 000 over 0 end-fraction 4.7 / 10 ActionThri...

∞∞the fraction with numerator infinity and denominator infinity end-fraction , the rule can be applied. : Take the derivative of the top function ( ) and the derivative of the bottom function ( ) independently. Do not use the Quotient Rule . Re-evaluate the Limit : Find the limit of the new fraction f′(x)g′(x)f prime of x over g prime of x end-fraction

The key feature for Section 4.7 is , which simplifies the calculation of limits for indeterminate quotients by using derivatives. L'Hôpital's Rule allows you to resolve indeterminate limits

4.7 Using L'Hopital's Rule for Determining Limits of ... - Calculus

, can have a determined limit for their ratio based on their slopes (derivatives) at that point. ✅ Result : Take the derivative of the top function

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