MCQMediumJEE Main 2023 · 24 January, Shift 2Continuity

Mathematics Question from JEE Main 2023 · 24 January, Shift 2

The set of all values of aa for which limxa([ ⁣[x5] ⁣][ ⁣[2x+2] ⁣])=0,\lim_{x \to a} \left([\![x - 5]\!] - [\![2x + 2]\!]\right) = 0, where [ ⁣[x] ⁣][\![x]\!] denotes the greatest integer less than or equal to xx, is equal to:

  • A

    (7.5,6.5)(-7.5, -6.5)

  • B

    (7.5,6.5](-7.5, -6.5]

  • C

    [7.5,6.5][-7.5, -6.5]

  • D

    [7.5,6.5)[-7.5, -6.5)](streamdown:incomplete-link)

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