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KCET2009MathematicsLimits

The function f(x)= (1+a x)- (1-b x) x is not defined at x =0 . The value which should be assigned to f at x =0 so that it is continuous at x =0 is

Options

  1. Aa-b
  2. Ba+b
  3. Ca+ b
  4. D0

Correct answer

B. a+b

Step-by-step solution

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

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