Let f(x)=|x|+[x−1], where [.] is greatest integerfunction, then f(x) is

Let f(x)=|x|+[x1], where [.] is greatest integer
function, then f(x) is

  1. A

    continuous at x = 0 as well as at x = 1

  2. B

    continuous at x = 0 but not at x = 1

  3. C

    continuous at x = 1 but not at x = 0

  4. D

    neither continuous at x = 0 or nor at x = 1

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    Solution:

    [x] is not continuous at xI and |x| is a continuous
    function so |x|+[x1]is neither continuous at x = 0

     nor at x = 1.

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