Limits (1^∞ & Series Expansion) & Continuity Full Lecture | PGDBA Quant Preparation | Calculus L2

Limits and continuity full lecture for PGDBA entrance exam preparation (Quant section). Finishes limits with the 0⁰, ∞⁰ and 1^∞ forms and series expansions, then covers continuity and the PGDBA-style questions on finding unknown constants. 📚 Topics covered: • Limits with modulus and greatest integer functions • 0⁰, ∞⁰ and 1^∞ forms: the standard e-result • Series expansions of eˣ, sin x, cos x, tan x and ln(1+x) • Continuity: definition and conditions • Discontinuity of greatest integer functions • Finding unknown constants so a function is continuous ▶️ Complete PGDBA Calculus playlist (watch in order):    • PGDBA Quant: Calculus | Limits, Differenti...   ⏮ Previous lecture: Limits – Calculus L1 ⏭ Next lecture: Differentiability – Calculus L3 📌 Full PGDBA Preparation path: Algebra → Sets, PnC & Probability → Geometry & Trigonometry → Coordinate Geometry → Calculus → LRDI → Verbal → Quant Workshops → Previous Year Papers → Interview Preparation. 🔔 Subscribe for the complete free PGDBA course: Quant, LRDI, Verbal, solved previous year papers and interview prep. Curated by Vishal Bagla, inaugural PGDBA batch alumnus. Independent channel, not affiliated with or endorsed by IIM Calcutta, ISI Kolkata or IIT Kharagpur. #PGDBA #PGDBAQuant #PGDBACalculus ⏱️ Chapters 0:00 Recap: limits with modulus and greatest integer 0:59 Practice: limits with [x] and |x| 8:02 0⁰ and ∞⁰ forms: taking log 12:02 1^∞ form: the standard result 16:02 1^∞ problems at infinity 19:12 1^∞ problems with tan 25:04 Series expansions: eˣ, sin x, cos x, tan x, ln(1+x) 30:04 Solving limits with series expansions 41:07 Continuity: definition and conditions 44:00 Discontinuity at greatest integer points 51:02 Finding unknown constants for continuity 59:02 Continuity with the greatest integer function at a point 1:06:11 Continuity on an interval with [x] 1:13:13 Practice: 1^∞ continuity problems 1:18:10 Practice: trigonometric continuity problems 1:25:03 Next class: differentiability