Q71.The set of values of a for which x→a([xlim −5] −[2x + 2]) = 0 , where, [ζ] denotes the greatest integer less than or equal to ζ is equal to (1) (−7. 5, −6. 5) (2) (−7. 5, −6. 5] (3) [−7. 5, −6. 5] (4) [−7. 5, −6. 5)
What This Question Tests
This question tests the understanding of limits involving the greatest integer function, requiring careful analysis of left-hand and right-hand limits to determine the interval for 'a' where the limit is zero.
Concepts Tested
Formulas Used
[x] = x - {x}
lim x->a- [x] = a-1 (if a is integer)
lim x->a+ [x] = a (if a is integer)
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Limits involving greatest integer function
- Year
- 2023
- Shift
- 24 Jan Shift 2
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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