Solving 1^∞ Form in Limits: 2 Quick Methods for JEE | JEE Math #jee

In this video, we solve a classic and important Limits problem involving the indeterminate form 1^∞: lim (x → 0+) (1 + sin 2x)^(√cot x) We explore two clear approaches to tackle this problem: 1. Standard Exponential Form & L'Hôpital's Rule 2. Standard Trigonometric Limit Transformations limits jee main, limits jee advanced, 1 to power infinity form limits, limits indeterminate forms, limits tricks jee, jee maths limits questions, calculus jee main, l hopital rule limits, calculus problem solving, siyesh iit jee, iit jee mathematics This concept is essential for students preparing for JEE Main, JEE Advanced, and other engineering entrance exams. 00:00 - Introduction & Concept Overview 00:28 - Identifying the 1^∞ Indeterminate Form 01:05 - Behavior & Graph Analysis of cot(x) as x → 0+ 02:37 - The Standard Formula: e^lim [g(x) · (f(x) - 1)] 03:31 - Setting up the Problem into 0/0 Form 06:12 - Method 1: Solving via L'Hôpital's Rule 07:38 - Method 2: Solving via Standard Trigonometric Limits 09:47 - Final Answer & Summary 📌 Watch the full Limits Playlist for more conceptual questions and PYQs 🔔 Subscribe to @Siyesh_IIT-JEE for daily problem-solving and concept revisions! #jeemaths #limits #iitjee #calculus #jeemains #jeeadvanced