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The number of points of discontinuity of...

The number of points of discontinuity of `fx)=[2x^2]-{2x2}^2` (where [] denotes the greatest integer function and {} is fractional part of `x` ) in the interval `(-2,2),` is `1` b. `6` c. `2` d. 4

A

1

B

6

C

2

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Given, `f(x)=([2x]+{2x})([2x]-{2x})=4x-4x{2x}`
`2x in (-4,4)`
Hence f(x) is discontinuous when `2x=-3, -2, -1, 1,2,3.`
At `x=0,f(x)` is continuous
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