Maclaurin’s Series | √(1 + sin 2x) Expansion | VTU Engineering Mathematics Exam Problem
▶️ Complete Playlist: • Maclaurin’s Series Expansion | Important V... 🎥 Watch Videos: 1️⃣ √(1 + sin 2x) Expansion 👉 • Maclaurin’s Series | √(1 + sin 2x) Expansi... 2️⃣ √(1 + cos 2x) Expansion 👉 • Maclaurin’s Series | √(1 + cos 2x) Expansi... 3️⃣ log(1 + cos x) Expansion 👉 • Maclaurin’s Series | log(1 + cos x) Expans... 📘 Using Maclaurin’s Series | Expansion of √(1 + sin 2x) | Engineering Mathematics In this video, we prove the Maclaurin series expansion of the expression √(1 + sin 2x) using standard series formulas. This problem is frequently asked in Engineering Mathematics exams and is important for understanding series expansion techniques. 🧠 Problem Covered Using Maclaurin’s series, prove that √(1 + sin 2x) = 1 + x − x²/2 − x³/6 + x⁴/24 ✏️ What You Will Learn Maclaurin series expansion of sin 2x Binomial expansion of √(1 + u) How to simplify and collect terms up to x⁴ Proper exam writing method How higher order terms are neglected 🎯 Useful For VTU Engineering students Semester exams Series expansion problems Maclaurin and Taylor series practice Calculus problem solving 💡 Exam Tip Always expand trigonometric functions first, then apply binomial expansion, and finally simplify step by step up to the required power of x. This video is useful for: • VTU Engineering Mathematics students • First-year calculus preparation • Quick revision before exams 🎓 Best suited for • VTU Semester 1 students • Exam-oriented derivation practice • Quick revision before IA and SEE 📚 Syllabus Mapping (VTU) • 1BMATE101 (EC & EE) Module 2 – Module-2: Power series Expansions, indeterminate forms and multivariable calculus • 1BMATC101 (CE) Module 1 – Module-2: Power series Expansions, indeterminate forms and multivariable calculus. • 1BMATM101 (ME) Module 1 – Module-2: Series Expansions, indeterminate forms and multivariable calculus. • BMATS101 / BMATE101 / BMATC101 / BMATM101 Module 2 – Common Calculus Topics (2022 scheme) ⭐🆕 Most Important VTU Playlists to Score More Marks (2025 Scheme) ✔ Common Modules -1BMATE101 (EC & EE) / 1BMATC101 (CE)/1BMATM101 (ME) • Module 1 – Differential Calculus / Polar Curves and Curvature • Module 1 Differential Calculus | Polar Cur... • Module 2 – Power Series expansion, Indeterminate Forms & Multivariable Calculus • Partial Differentiation | Multivariable Ca... ✔ Linear Algebra (Branch-wise) • 1BMATE101 (EC & EE) / 1BMATC101 (CE)– Module 5 • Linear Algebra Made Simple | Rank, Consist... • 1BMATM101 (ME) – Module 4 • Linear Algebra Made Simple | Rank, Consist... ✔ Most important playlists done to score more marks ✔ High-weightage topics for IA and SEE ⭐ VTU Semester 1 – MUST WATCH Playlists (Score Booster) 🔹 1BMATE101 (TOP PRIORITY) Model QP–I 2025 • VTU Model Question Paper–I 2025 | 1BMATE10... M1 – Differential Calculus • Differential Calculus | VTU 1BMATE101 – Mo... M2 – Multivariable Calculus • Power Series, Indeterminate Forms & Multiv... M3 – ODE • Ordinary Differential Equations (ODE) | VT... M4 – Higher Order ODE • Higher-Order Ordinary Differential Equatio... M5 – Linear Algebra • Linear Algebra | VTU 1BMATE101 – Module 5 ... 🔹 1BMATC101 M1 • Polar Curves and Curvature | VTU 1BMATC101... M2 • Series Expansion, Indeterminate Forms & Mu... M3 • Ordinary Differential Equations of First O... M4 • Ordinary Differential Equations of Higher ... M5 • Linear Algebra | VTU 1BMATC101 – Module 5 ... 🔹 1BMATM101 M1 • Polar Curves and Curvature | VTU 1BMATM101... M2 • Series Expansion, Indeterminate Forms & Mu... M3 • Ordinary Differential Equations of First O... M4 • Linear Algebra | VTU 1BMATM101 – Module 4 ... ✔ Follow in order to score more marks 👉 WhatsApp: https://whatsapp.com/channel/0029Vb6c... 👉 Telegram: https://t.me/VTUMathsWithMuheeb 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗 / @officialmathematicstutor #MaclaurinSeries #EngineeringMathematics #SeriesExpansion #VTUMaths #Calculus #ExamPreparation #MathsTutorial
