Question

Prove that the function defined by f (x) = | sinx | is a continuous function.

Answer 1

Step-by-step explanation:

Continuity and Differentiability

Continuity and DifferentiabilityShow that the function defined by f(x) = sin (x2 ) is a continuous function. Here f(x) = sin (x2) Let g(x) =sinx and h(x) = x2. ∴(g o h) (x) = g (h(x)) = g(x2 ) = sin x2. Now f(x) = (g o h)(x) and g, h are both continuous functions.