Q84.Let [t] denote the greatest integer ≤t and {t} denote the fractional part of t . Then integral value of α for α2[x]+{x}+[x]−1 which the left hand limit of the function f(x) = [1 + x] + 2[x]+{x} at x = 0 is equal to α −43 is _____
What This Question Tests
This question tests the ability to evaluate the left-hand limit of a function involving the greatest integer and fractional part functions at an integer point, and then solve for an unknown variable.
Concepts Tested
Formulas Used
lim (x->a-) [x]
lim (x->a-) {x}
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Limits involving greatest integer function and fractional part function
- Year
- 2022
- Shift
- 27 Jun Shift 2
- Q Number
- Q84
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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