Example 19 - 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 .