Q.

f(x)=|⌈x]x| in −1≤x≤2 is

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a

continuous at x = 0

b

discontinuous at  x = 0

c

differentiable at x = 0

d

continuous at x = 2

answer is A.

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Detailed Solution

limx→0−f(x)limx→0+f(x)=0=f(0)∴f is continuous at x=0.
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