MHT CET202313 May 2023Morning ShiftMathematicsContinuity and DifferentiabilityActual

The function f ( t )= 1 t ^2+ t -2 where t = 1 x-1 is discontinuous at

Options

A-2,1
B2, 1 2
C1 2 , 1
D2,1

Correct answer

B. 2, 1 2

Step-by-step solution

f(t)= 1 t^2+t-2 = 1 (t+2)(t-1) f ( t ) is not defined at t =-2 and t =1 . aligned & t =-2 & 1 x-1 =-2 & x= 1 2 & t =1 & 1 x-1 =1 & x=2 aligned The function f ( t ) is discontinuous at x= 1 2 and x=2 .

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