Example 19 - Show that f(x) = sin (x2) is continuous - Examples

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Example 19 Show that the function defined by f (x) = sin (x2) is a continuous function. ( ) = sin 2 Let ( ) = sin & = 2 = g = 2 = sin 2 = So we can write = Here = sin is continuous & = 2 is continuous being a polynomial . We know that if two function & are continuous then their composition is continuous Hence is continuous is continuous .

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Davneet Singh
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.