Question

Function $f\left(x\right)=|x-1|+|x-2|+\cos x$, where $x\in [0,4]$ is not continuous at number of points

• A. $1$
• B. $2$
• C. $3$
• D. $0$

Answer 1

The correct option is D $0$

Since $|x-1|,|x-2|$ and $\cos x$ are continuous function and we know that the sum of continuous function is also continuous. So, the given function is continuous everywhere ie, number of discontinuous points is zero