In the following

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

In the following, [x][x] denotes the greatest integer less than or equal to xx. [Match the Columns, 2008]
Column IColumn II
| A | x∈[x]x \in [x] | p. | continuous in (−1,1)(-1, 1) | | B | x\sqrt{ x } | q. | differentiable in (−1,1)(-1, 1) | | C | x+[x]x + [x] | r. | strictly increasing (−1,1)(-1, 1) | | D | x−1+x+1 x-1 + x+1 | s. | not differentiable atleast at one point in (−1,1)(-1, 1) |

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