AM-GM-HM Ka Sabse Hard Level | 3 Advanced Proofs | NEEV L6

AM-GM-HM ka easy level toh sabne dekha. Ab baari hai us level ki jahan exponents khud variable hain, product-notation aata hai, aur n-variable generalization test hoti hai. Is lecture mein cover hoga: ✅ Weighted power form: ((a²+b²+c²)/(a+b+c))^(a+b+c) ≥ aᵃ·bᵇ·cᶜ ✅ n-variable factorial-power inequality: 1¹·2²·3³·...·nⁿ ≤ ((2n+1)/3)^(n(n+1)/2) ✅ Product-notation inequality: Π(1+aᵢ+aᵢ²) / Π(aᵢ) ≥ 3ⁿ ✅ In teeno mein AM-GM ko generalize karke apply karna — ek variable se n variable tak Yeh video NEEV Foundation Series ka Lecture 6 hai — Advanced tier. Agar aapne L1 se L5 tak follow kiya hai, toh yeh lecture aapko dikhayega ki wahi core idea kaise complex-dikhne wale sawaalon mein bhi kaam karta hai — bina naya formula ratte kiye. 👉 Yeh video un students ke liye hai jo sirf "solve kar liya" nahi chahte — jo samajhna chahte hain ki generalization kaise sochte hain, kyunki yehi cheez naye/unseen variations mein bachaati hai. 📚 NEEV Foundation Series — JEE Main + Advanced ke liye concept-first lectures. L1–L5 (basics se is level tak) poori playlist channel par milegi. #AMGMHM #JEEAdvanced #NEEVFoundation #InequalityProofs #Xerofinity 🔥 HIT SUBSCRIBE to level up your future with crystal-clear lessons and expert guidance that actually works! #AMGMHM #JEEAdvanced #NEEVFoundation #InequalityProofs #Xerofinity