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MHT CET2009MathematicsLimits

Given f(x)= a x+b x+1 , _ x f(x)=1 and _ x 0 f(x)=2 , then f(-2) is

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

A. 0

Step-by-step solution

Given, _ x f(x)=1 _ x a x+b x+1 =1 _ x a+ b x 1+ 1 x =1 a=1 _ x 0 f(x)=2 _ x 0 a x+b x+1 =2 b=2 aligned [ ( x)&+ ( x)] d x =& d d x x ( x) d x &=x ( x)+c aligned

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