question_answer 1)

Examine that sin |x| is a continuous function. 

Answer:

Let g(x) = sin |x| Let g(x) = sin x and h(x) = |x| f(x) = (goh) (x) = g[h(x)] = g(|x|) = sin |x| Since sine and modulus functions are everywhere continuous therefore g and h are continuous function. As composite function of two continuous function is continuous, so f is a continuous function.