Check sibling questions

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

Solve all your doubts with Teachoo Black (new monthly pack available now!)


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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.