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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
∞∞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 fraction with numerator infinity and denominator infinity end-fraction Feature Overview: L'Hôpital's Rule
, can have a determined limit for their ratio based on their slopes (derivatives) at that point. ✅ Result
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