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AP EAMCET202421 May 2024Evening ShiftMathematicsContinuity and DifferentiabilityActual

If the function f(x)= 1+x -1 x is continuous at x=0 then f(0)=

Options

  1. A- 1 2
  2. B1 3
  3. C1 2
  4. D- 1 3

Correct answer

C. 1 2

Step-by-step solution

aligned & _ x 0 f(x)=f(0) f(0)= _ x 0 1+x -1 x & = _ x 0 1+x-1 x( 1+x +1) = _ x 0 1 1+ 1+x = 1 2 aligned

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