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In this math video, we'll talk about how L'hospital's rule ISN'T the fastest way to solve this limit problem. A big mistake in calculus is assuming L'hopital's rule will save you time but here it clearly doesn't. For precalculus and calculus, it's important to recognize quick limit tricks instead of blindly using rules. Here, I'll show you the faster method to solve this by manipulating the expression so we can recognize using the squeeze limit theorem. 0:00 Introduction to the Problem 0:06 Method 1: The L'Hôpital's Rule Solution 0:15 Proving the Indeterminate Form (0/0) 0:26 Taking the Derivatives (Numerator) 0:42 Taking the Derivatives (Denominator - Product Rule) 0:52 Method 2: The Faster "Ninja Method" 0:58 Splitting the Limit into Two Parts 1:18 Applying the Squeeze Limit Theorem 1:45 Simplifying the Expression 2:10 Solving for the Final Answer 📚Download My FREE study guide https://numberninjas.live/study 📱Stay SHARP With My FREE game https://numberninjas.live/game 🥋Become a MEMBER for more ninja goodies here: https://numberninjas.live/join 📚 My favorite tools! (These are amazon affiliate links, I make commission) 😟Conquer Exam Anxiety: https://amzn.to/3Y2LWKv 📕GREAT AP Exam Study Guide: https://amzn.to/4ilFe9K 🔢 The BEST Calculator: https://amzn.to/4eBNeRS 📐 AMAZING Engineering Ruler: https://amzn.to/4doupRk