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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let a function f(x) = [x] x - |x| where [ ] , are greatest integer and fractional part respectively. Match the following Column-I with Column-II in domain (-3, ) : array |l|l| Column-I & Column-II (A) f(x) is continuous at x equal to & (P) 3 (B) | 4 3 ₂³ f(x) , dx | is equal to & (Q) 1 (C) If g(x) = x - 1 and if f(x) = g(x) , then number of solutions is & (R) 4 (D) If l = _ x 4^+ f(x) , then -l is equal to & (S) 2 ar

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