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JEE Main 2023 · 24 Jan · Shift 2

JEE Main 2023 Mathematics question on Limits Continuity and Differentiability

The set of all values of aa for which lim⁡x→a([x−5]−[2x+2])=0\lim_{x \to a}([x-5]-[2x+2])=0, where [α][\alpha] denotes the greatest integer less than or equal to α\alpha is equal to
  1. A.
    (−7.5,−6.5](-7.5, -6.5]
  2. B.
    [−7.5,−6.5)[-7.5, -6.5)
  3. C.
    [−7.5,−6.5][-7.5, -6.5]
  4. D.
    (−7.5,−6.5)(-7.5, -6.5)
Show answer

Correct option: D

[JEE Main 2023 · 24 Jan · Shift 2]

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