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

  1. Class 11
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Ex13.1, 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 ﷯﷮ax﷯× ax﷮bx﷯ = lim﷮x→0﷯ sin﷮ax ﷯﷮ax﷯× a﷮b﷯ = a﷮b﷯ × 𝐥𝐢𝐦﷮𝐱→𝟎﷯ 𝐬𝐢𝐧﷮𝐚𝐱 ﷯﷮𝐚𝐱﷯ = 𝑎﷮𝑏﷯ ×𝟏 = 𝒂﷮𝒃﷯

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