Question

$sin|x|+|sinx|$ is not continuous for all $x$.
If true enter 1 else enter 0

Answer 1

$p\left(x\right)=\left|x\right|$

$q\left(x\right)=\sin x$

We know that p & q are continuous functions

$\Rightarrow p\left(q\right(x\left)\right)=\left|\sin x\right|$ & $q\left(p\right(x\left)\right)=\sin \left|x\right|$ are also continuous(Algebra of continuous function)

$\Rightarrow \left|\sin x\right|+\sin \left|x\right|$ is also continuous (A of CF)