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AP EAMCET2007MathematicsLimits

If f(x)= cases (1+[x]) [x] , & for [x] 0 0, & for [x]=0 cases where [x] denotes the greatest integer not exceeding x , then _ x 0⁻ f(x) is equal to

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

B. 0

Step-by-step solution

Given, aligned f(x) & = cases (1+[x]) [x] , & for [x] 0 0 & for [x]=0 cases _ x 0⁻ f(x) & = _ x 0⁻ (1+[x]) [x] & = (1-1) -1 & =0 aligned

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