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Question: Answered & Verified by Expert
Let a be an integer such that limx718-1-xx-3a exists, where t is greatest integer t. Then a is equal to
MathematicsLimitsJEE MainJEE Main 2022 (27 Jun Shift 1)
Options:
  • A -2
  • B 6
  • C -6
  • D -7
Solution:
1433 Upvotes Verified Answer
The correct answer is: -6

Since limx718-1-xx-3a exists a𝕀

 L.H.L = R.H.L

limh018--67-h-3a=limh018--77+h-3a

limh0247-3a+-h=limh0257-3a+h

246-3a=257-3a  a=-6

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