Posts

Showing posts with the label floor function discontinuity trick

GIF Discontinuity Concept — JEE Maths in 1 Minute ⚡

Image
❓ Concept 🎬 Discontinuity Trick for Greatest Integer Function | JEE in 60 Sec GIF (floor function) dikha? Samajh jao — continuity ka game start ho gaya hai 🔥 Is concept ko pakad liya, toh GIF ke 90% questions automatic clear . 🖼️ Concept Image ✍️ Short Explanation Students ki sabse badi galti: ❌ “GIF non-integers par toot-ta hai” Reality: 👉 GIF non-integers par continuous hota hai 👉 Sirf integers par jump aata hai Bas inside expression ko dhyaan se dekho — answer wahin se niklega. 🔹 Step 1 — GIF Breaks Only at Integers (CORE RULE 💯)** Greatest Integer Function [ x ] [x] : Continuous at every NON-integer Discontinuous ONLY at INTEGERS 📌 Important correction: Function ka argument integer hona chahiye, na ki x x  khud. 👉 So first rule: Find where the INSIDE expression becomes an integer. 🔹 Step 2 — Break the Function into Parts Typical JEE form: f ( x ) = [ something 1 ] − [ something 2 ] f(x)=[\text{something}_1]-[\text{something}_...