Q73.For each t ∈R, let [t] be the greatest integer less than or equal to t. Then, lim x→1+ |1−x|[1−x] (1) equals 0 (2) equals −1 (3) does not exist (4) equal 1
What This Question Tests
This question tests the evaluation of a limit involving the greatest integer function and absolute value, requiring careful consideration of the function's behavior as x approaches 1 from the right side.
Concepts Tested
Formulas Used
Definition of [t] as greatest integer less than or equal to t
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Limits involving greatest integer function
- Year
- 2019
- Shift
- 10 Jan Shift 1
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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