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MHT CET202123 Sep 2021Evening ShiftMathematicsContinuity and DifferentiabilityActual

If f(x)= 1- x+ x 1+ x+ x , for x is continuous at x= , then the value of f( ) is

Options

  1. A-1 2
  2. B-1
  3. C1
  4. D1 2

Correct answer

B. -1

Step-by-step solution

f(x)= (1+ x)-( x) (1+ x)+( x) , is continuous at x= aligned & _ x f(x)= _ x (2 ^2 x 2 )- (2 x 2 x 2 ) (2 ^2 x 2 )+ (2 x 2 x 2 ) & = _ x 2 x 2 ( x 2 - x 2 ) 2 x 2 ( x 2 + x 2 ) & = _ x 1- x 2 1+ x 2 = _ x ( 4 - x 2 )= ( 4 - 2 )=-1 aligned

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