Using L'Hôpital's Rule on a Complex Radical Limit | GRE/SAT Calculus Trick

Using L'Hôpital's Rule on a Complex Radical Limit | GRE/SAT Calculus Trick

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Using L'Hôpital's Rule on a Complex Radical Limit | GRE/SAT Calculus Trick
In this video, I solve a challenging limit problem involving nested square roots: f(x) = [b√(2 − √(3x)) − b] / (ax + b), as x → 1 The limit isn't zero, but direct substitution gives an indeterminate form — so I apply L’Hôpital’s Rule to break it down step by step. Perfect for GRE, SAT, or early calculus learners who want to get comfortable with radicals and L'Hôpital’s strategy for limits. 📘 You’ll learn how to: ✔️ Spot when to apply L’Hôpital’s Rule ✔️ Differentiate complex expressions with nested roots ✔️ Simplify cleanly to find the final value 🎯 Great test prep and a solid boost for your limit-solving skills! 👉 Like 👍, Subscribe 🔔, and comment if you want more advanced limit tricks. #Calculus #Limits #LHopitalsRule #GREMath #SATMath #RadicalFunctions #MathTricks #TestPrep