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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = cases [x] & , -2 x < 0 |x| & , 0 x 2 cases (where [ ] denotes the greatest integer function) and g(x) = x, x R - (2n+1) 2 , n I . Match the following statements in Column-I with their values in Column-II in the interval (- 3 2 , 3 2 ) : array |l|l| Column-I & Column-II (A) Abscissa of points where limit of (f g)(x) exist is/are & (P) -1 (B) Abscissa of points in domain of (g f)(x) , where limit of (g f)(x)

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