4.7 / 10 Actionthri... Apr 2026

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

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 4.7 / 10 ActionThri...

: First, evaluate the limit directly. If it yields 000 over 0 end-fraction , can have a determined limit for their

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 flippedmath

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

. 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