Continuity And Differentiability

Question

Show that the function defined by f(x) = sin (x² ) is a continuous function.

Solution

Here f(x) = sin (x²)
Let g(x) =sinx and h(x) = x2
∴(g o h) (x) = g (h(x)) = g(x² ) = sin x²Now f(x) = (g o h)(x) and g, h are both continuous functions.
∴ f is continuous function.

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Continuity And Differentiability

Show that the function defined by f(x) = sin (x² ) is a continuous function.

Some More Questions From Continuity and Differentiability Chapter

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NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Continuity And Differentiability

Show that the function defined by f(x) = sin (x2 ) is a continuous function.

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Show that the function defined by f(x) = sin (x² ) is a continuous function.