IIT-JEE 2003 | Limit PYQ That Traps Students 😱 | Only 1% Solve Correct скачать в хорошем качестве

IIT-JEE 2003 | Limit PYQ That Traps Students 😱 | Only 1% Solve Correct

If n is a non-zero integer and \lim_{x \to 0} \frac{\sin(nx)\left((a-n)nx-\tan x\right)}{x^2}=0 then find the value of a. Options: (A) 0 (B) \frac{n}{n+1} (C) n (D) \frac{n+1}{n} In this video, we solve a very interesting IIT-JEE 2003 Limit problem that tests your understanding of trigonometric expansion and limits. Many students try to solve this question directly and get stuck, but using the correct expansion technique, it becomes very simple. 📌 Question: If n is a non-zero integer and \lim_{x \to 0} \frac{\sin(nx)\left((a-n)nx-\tan x\right)}{x^2}=0 then find the value of a. Options: (A) 0 (B) \frac{n}{n+1} (C) n (D) \frac{n+1}{n} This problem is an excellent example of how standard limit expansions are used in IIT-JEE / JEE Advanced Mathematics. 🎯 Topics covered: • Limits using series expansion • Trigonometric limits • Small angle approximation • JEE Advanced PYQ concept If you are preparing for JEE Advanced / IIT-JEE, solving such PYQs will strengthen your conceptual clarity and speed. 👍 Subscribe for Rank Boost 📚 IIT-JEE Maths by AMT Sir