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Gateway Mission Academy presents a high-level Limit problem based on Taylor Expansion and Second Derivative concept for JEE Main 2026. Question: Let f: R → (0, ∞) be twice differentiable such that f(3) = 18 f'(3) = 0 f''(3) = 4 Evaluate: lim (x → 1) log [ (f(x+2) / f(3))^(18 / (x-1)²) ] This question tests: ✔ Taylor Expansion ✔ Second Derivative Concept ✔ Limit Evaluation Techniques ✔ Exponential & Logarithmic Limits ✔ Conceptual Understanding of Differentiability In this lecture, G3 Sir explains: • How to apply Taylor expansion properly • Why second derivative is important • Step-by-step simplification • Smart solving approach for JEE Main 🎯 Perfect for: JEE Main 2026 IIT JEE Aspirants Rank Booster Practice If you're targeting 99+ percentile in Maths, this concept is a must master. Gateway Mission Academy – Learn Smart, Score High 🚀 📌 Learn exam-oriented Maths at Gateway Mission Academy 📌 Subscribe for JEE MAIN 2024 focused problems 📌 Stay connected with Gateway Mission Academy – A Gateway To Your success...! / @gatewaymissionacademy 📍 Follow us on Instagram: @GMA3_OFFICIAL 📱 WhatsApp Channel: https://whatsapp.com/channel/0029Vb6P... 📘 Telegram: https://t.me/GMA3Official Visit Website: https://sites.google.com/view/gateway... #JEEMain2026 #TaylorExpansion #Limits #SecondDerivative #G3Sir #GatewayMissionAcademy #JEEMaths #RankBooster #Target99Percentile