Q62.Let [t] denote the greatest integer ≤t and x→0x[lim discontinuous, when x is equal to: (1) √A + 1 (2) √A + 5 (3) √A + 21 (4) √A
What This Question Tests
This problem requires evaluating a limit involving the greatest integer function and then determining the points of discontinuity of a related function, combining concepts from limits, continuity, and properties of the greatest integer function.
Concepts Tested
Formulas Used
Definition of greatest integer function [t]
Limit properties
Definition of continuity
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Greatest Integer Function, Limits, Discontinuity
- Year
- 2020
- Shift
- 09 Jan Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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