Number of points of discontinuity for $$f(x)=$$ $$sgn(sinx)$$, x∈[$$0$$,$$4$$π] is

$$f(x)=sgn(sinx)$$ is discontinous when $$sinx=0$$ ⇒$$x=0$$,π,$$2$$π,$$3$$π,$$4$$π

Continuity

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Question

$N u m b e r o f p o i n t s o f d i s c o n t i n u i t y f o r f (x)= s g n (s i n x), x \in[0,4 π] i s$

Easy

Solution

$f (x) = s g n (\sin x) i s d i s c o n t i n o u s w h e n \sin x = 0 \Rightarrow x = 0, π, 2 π, 3 π, 4 π$

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