Q66.Let a be an integer such that lim 18−[1−x][x−3a] exists, where [t] is greatest integer ≤t . Then x→7 (1) −2 (2) 6 (3) −6 (4) −7
What This Question Tests
This question assesses the ability to handle limits involving the greatest integer function, specifically requiring the evaluation of left-hand and right-hand limits and equating them for the limit to exist.
Concepts Tested
Formulas Used
lim (x->a-) f(x) = lim (x->a+) f(x) for limit to exist
[x] = n if n <= x < n+1
📚 NCERT Sections This Tests
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Limits involving Greatest Integer Function
- Year
- 2022
- Shift
- 27 Jun Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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