99 Percentile Qs Bank for JEE MainMathematicsContinuity and Differentiability

If a function f defined by f(x)= array c 1- 2 x -4 x , if x 4 k, if x= 4 array .x= 4 , then k=

Options

A1 4
B1
C-1 4
D2

Correct answer

A. 1 4

Step-by-step solution

We have, f(x)= array cc 1- 2 x -4 x , & x 4 k & , x= 4 array . Since, f(x) is continuous at aligned & x= 4 & f( / 4)= _ 4 f(x) k & = _ 4 1- 2 x -4 x k & = _ 4 - 2 x -4 [using L^ hospital Rule] k & = 2 4 1 2 & k= 1 4 . aligned

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