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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = cases x[x] & 0 x < 2 (x-1)[x] & 2 x 3 cases where [x] = greatest integer less than or equal to x , then : The number of integers in the range of y = f(x) is :

Options

A3
B4
C5
D6

Correct answer

C. 5

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