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NDA2018MathematicsLimitsActual

If the function f(x)= 2 x- ⁻¹ x 2 x+ ⁻¹ x is continuous at each point in its domain, then what is the value of f(0) ?

Options

  1. A-1/3
  2. B1/3
  3. C2/3
  4. D2

Correct answer

B. 1/3

Step-by-step solution

aligned & f(0)= _ x 0 2 x- ⁻¹ x 2 x+ ⁻¹ x & = _ x 0 2- ⁻¹ x x 2+ ⁻¹ x x = 2-1 2+1 = 1 3 aligned

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