MHT CET202416 May 2024Morning ShiftMathematicsContinuity and DifferentiabilityActual

Let f (x)= 1- x 4 x- , x 4 , x [0, 2 ] . f(x) is continuous in [0, 2 ] , then f ( 4 ) is

Options

A- 1 2
B1 2
C1
D-1

Correct answer

A. - 1 2

Step-by-step solution

Since f (x) is continuous in [0, 2 ] . it is continuous at x= 4 . f ( 4 )= _ x 4 f (x)= _ x 4 1- x 4 x- Applying L'Hospital rule on R.H.S., we get aligned & f ( 4 )= _ x 4 - ^2 x 4 & f ( 4 )= -2 4 = -1 2 aligned

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