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The function f(x) =(2x^(2)+7)/(x^(3)+3x...

The function `f(x) =(2x^(2)+7)/(x^(3)+3x^(2)-x-3)` is discontinuous for

A

only x = 1

B

x = 1 and x = -1

C

x = 1, x = -1 and x = -3

D

x = 1, x = -1, x = -3 and other values of x

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `f(x)=(2x^(2)+7)/((x^(2)-1)(x+3))`
Since, at `x = 1, -1, f(x)=oo`
Hence, function is discontinuous at x =1, -1 and -3.
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