Example 4 (ii) - Chapter 12 Class 11 Limits and Derivatives

Last updated at July 31, 2026 by

Example 4 - Chapter 13 Class 11 Limits and Derivatives - Part 3

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

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Transcript

Example 4 Evaluate: (ii) lim﷮x→0﷯ tan﷮x﷯﷮x﷯ lim﷮x→0﷯ tan﷮x﷯﷮x﷯ = lim﷮x→0﷯ 1﷮𝑥﷯ × tan x = lim﷮x→0﷯ 1﷮𝑥﷯ × sin﷮x﷯﷮ cos﷮x﷯﷯ = lim﷮x→0﷯ sin﷮x﷯﷮x﷯ × 1﷮ cos﷮𝑥﷯﷯ = 𝐥𝐢𝐦﷮𝐱→𝟎﷯ 𝐬𝐢𝐧﷮𝐱﷯﷮𝐱﷯ × lim﷮x→0﷯ 1﷮cos x﷯ = 1 × lim﷮x→0﷯ 1﷮cos x﷯ = 1 × lim﷮x→0﷯ 1﷮cos x﷯ = lim﷮x→0﷯ 1﷮cos x﷯ Putting x = 0 = 1﷮ cos﷮0﷯﷯ = 1﷮1﷯ = 1

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