Actionthri... - 4.7 / 10

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

4.7 Using L'Hopital's Rule for Determining Limits of ... - Calculus 4.7 / 10 ActionThri...

. 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 , can have a determined limit for their

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 If the result is still indeterminate, you can

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 key feature for Section 4.7 is , which simplifies the calculation of limits for indeterminate quotients by using derivatives.

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