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

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

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

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

∞∞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 - Calculus : First, evaluate the limit directly

∞∞the fraction with numerator infinity and denominator infinity end-fraction Feature Overview: L'Hôpital's Rule

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 : 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