99% FAIL This Exam Question!
In this video, we talk about a common mistake when using L'hopital's rule for this calculus problem and not properly identifying indeterminate forms. For this limit, many students may quickly and incorrectly use L'hopital without first manipulating the problem to the form f(x)/g(x) and ensuring that plugging in the limit value for x gives you one of the acceptable indeterminate forms, such as 0/0 or infinity/infinity. Be sure to watch the whole video so you don't fall for this trap on your AP calc exam!
After manipulating the equation so that we can safely use L'hopital's rule, we'll use rules of derivatives like the chain rule to determine whether this limit converges! Hope you enjoy! Be sure to subscribe so you can crush these problems like a ninja!
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0:00 - Introduction
0:13 - Let X Approach Inf
0:39 - Indeterminate Result
1:13 - Rewriting The Problem
1:32 - Trying Again
2:20 - New Indeterminate Form
2:40 - L'hopital's Walkthrough
2:55 - Chain Rule
3:32 - Solving With L'hopitals
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