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Let f(x) = {{:((2^(x)+2^(3-x) - 6)/(sqrt...

Let `f(x) = {{:((2^(x)+2^(3-x) - 6)/(sqrt(2^(-x))-2^(1-x))",","if",x gt 2),((x^(2) - 4)/(x - sqrt(3x - 2))",","if",x lt 2):}`,then

A

(a)`f(2) = 8 rArr f` is continuous at x = 2

B

(b)`f(2) = 16 rArr f` is continuous at x = 2

C

(c)`f(2^(-)) ne f(2^(+)) rArr f` is discontinuous

D

(d)f has a removable discontinuity at x = 2

Text Solution

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The correct Answer is:
C
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