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Ex 12.1, 27 - Chapter 12 Class 11 Limits and Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Chapter 12 Class 11 Limits and Derivatives
Concept wise
- Limits - Definition
- Limits - 0/0 form
- Limits - x^n formula
- Limits - Of Trignometric functions
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Limits - Limit exists
- Derivatives by 1st principle - At a point
- Derivatives by 1st principle - At a general point
- Derivatives by formula - x^n formula
- Derivatives by formula - sin & cos
- Derivatives by formula - other trignometric
Transcript
Ex 12.1, 27 Find lim┬(x→5) f(x), where f(x) = |x| – 5 Finding limit at x = 5 LHL at x → 5 lim┬(x→5^− ) f(x) = lim┬(h→0) f(5 − h) = lim┬(h→0) |5−ℎ| – 5 = lim┬(h→0) (5−ℎ) – 5 = lim┬(h→0) −ℎ = 0 RHL at x → 5 lim┬(x→5^+ ) f(x) = lim┬(h→0) f(5 + h) = lim┬(h→0) |5+ℎ| – 5 = lim┬(h→0) (5+ℎ) – 5 = lim┬(h→0) ℎ = 0 Thus, (𝒍𝒊𝒎)┬(𝐱→𝟓) f(x) = 0
