1. Chapter 13 Class 11 Limits and Derivatives
  2. Serial order wise
  3. Ex 13.1

Ex 13.1, 13 - Chapter 13 Class 11 Limits and Derivatives

Last updated at Nov. 30, 2019 by

Ex 13.1, 13 - Evaluate: lim x->0 sin ax / bx - Chapter 13 Limits

Ex 13.1, 13 - Chapter 13 Class 11 Limits and Derivatives - Part 2

  1. Chapter 13 Class 11 Limits and Derivatives
  2. Serial order wise

    3. Ex 13.1

    Ex 13.2 →

Transcript

Ex 13.1, 13 Evaluate the Given limit: lim┬(x→0) sin⁡〖ax 〗/bx (𝑙𝑖𝑚)┬(𝑥→0) 𝑠𝑖𝑛⁡〖𝑎𝑥 〗/𝑏𝑥 = (𝑙𝑖𝑚)┬(𝑥→0) 𝑠𝑖𝑛 𝑎𝑥" ×" 1/𝑏𝑥 Multiplying & dividing by ax = (𝑙𝑖𝑚)┬(𝑥→0) 𝑠𝑖𝑛 𝑎𝑥" ×" 1/𝑏𝑥 "×" 𝑎𝑥/𝑎𝑥 = (𝑙𝑖𝑚)┬(𝑥→0) 𝑠𝑖𝑛⁡〖𝑎𝑥 〗/𝑎𝑥 "×" 𝑎𝑥/𝑏𝑥 = (𝑙𝑖𝑚)┬(𝑥→0) 𝑠𝑖𝑛⁡〖𝑎𝑥 〗/𝑎𝑥 "×" 𝑎/𝑏 = 𝑎/𝑏 ×(𝒍𝒊𝒎)┬(𝒙→𝟎) 𝒔𝒊𝒏⁡〖𝒂𝒙 〗/𝒂𝒙 Using lim┬(x→0) sin⁡𝑥/𝑥 = 1 Replace x with ax = 𝑎/𝑏 ×𝟏 = 𝒂/𝒃

Chapter 13 Class 11 Limits and Derivatives
Serial order wise

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