Ex 5.1, 33 - Examine that sin |x| is continuous - Class 12 CBSE - Continuity of composite functions

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Ex 5.1, 33 Examine that sin | | is a continuous function. ( ) = sin Let ( ) = sin & = = g = = sin = f (x) So we can write = We know that = sin is continuous & = is continuous as modulus function is continuous We know that If two function & both continuous then their composition is continuous is continuous Thus, is continuous for all real values.

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.