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NDA2015MathematicsContinuity and DifferentiabilityActual

The function f ( x )= 1- x + x 1+ x + x is not defined at x = . The value of f( ) so that f(x) is continuous at x= is

Options

  1. A-1/2
  2. B1/2
  3. C-1
  4. D1

Correct answer

C. -1

Step-by-step solution

_ x 1- x+ x 1+ x+ x Using L'hospital's rule aligned & _ x - x- x x- x & - - - & -(-1)-0 -1-0 aligned -1

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