Example 2 (iii) - Chapter 12 Class 11 Limits and Derivatives

Last updated at Dec. 16, 2024 by

Example 2 - Chapter 13 Class 11 Limits and Derivatives - Part 4

Example 2 - Chapter 13 Class 11 Limits and Derivatives - Part 5

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Example 2 Find the limits: (iii) lim┬(x→2) [(x2 −4)/(x3 − 4x2 + 4x)] lim┬(x→2) [(x2 − 4)/(x3− 4x2 + 4x)] = lim┬(x→2) [(x2 −(2)2)/(x(x2 − 4x + 4) )] = lim┬(x→2) [((𝑥 − 2) (𝑥 + 2))/(x(x(x − 2) − 2(x − 2)) )] = lim┬(x→2) [((𝑥 − 2) (𝑥 + 2))/(𝑥 (x − 2)(x − 2) )] = (𝐥𝐢𝐦)┬(𝐱→𝟐) [(𝒙 + 𝟐)/(𝐱 (𝐱 − 𝟐) )] Putting x = 2 = (2 + 2)/(2 (2 − 2) ) = (2 + 2)/(2 (2 − 2) ) = 4/(2(0)) = 𝟒/𝟎 = ∞ Which is not defined

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo