1 + |sin x| is
A. continuous nowhere
B. continuous everywhere
C. discontinuous at x = 0
D. None of these
Ans: B
Sol: f (x) = 1 + |sin x|
where sin x > 0 Þ f (x) = 1 + sin x
sin x < 0 Þ f (x) = 1 - sin x
so continuous every where
Hence B. is the correct answer.
