Q. The number of points at which the function $f(x) = (|x - 1| + |x - 2| + \cos x)$ where $x \in \lbrack 0,\ 4\rbrack$ is not continuous, is
A) 1
B) 2
C) 3
D) 0
Explanation
(d)
Given, $f(x) = |x - 1| + |x - 2| + \cos x$
Since, $|x - 1|,\ |x - 2|$ and $\cos x$ are continuous in [0, 4]
$\therefore\ \ f(x)$ being sum of continuous functions is also continuous
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.