Which of the following point(s) is/are a point of discontinuity for f(x) defined by f(x)=4−x24x−x3
A
0.0
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B
2
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C
-2
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D
1
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Solution
The correct options are A 0.0 B 2 C -2 Given that f(x)=4−x24x−x3 f(x) is not defined if 4x−x3=0 ⇒x(4−x2)=0⇒x=0,2,−2 Therefore, f(x) is discontinuous at x = 0, 2, -2