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!
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