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AP EAMCET2008MathematicsLimits

If f: R R is defined by f(x)=[x-3]+|x-4| for x R , then _ x 3⁻ f(x) is equal to

Options

  1. A-2
  2. B-1
  3. C0
  4. D1

Correct answer

C. 0

Step-by-step solution

Given that, aligned f(x) & =[x-3]+|x-4| _ x 3⁻ f(x) & = _ x 3⁻ ([x-3]+|x-4|) & = _ h 0 ([3-h-3]+|3-h-4|) & = _ h 0 ([-h]+1+h) & =-1+1+0=0 aligned

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