Q72.If x3−k3 , then k is lim lim x−1 = x2−k2 x→1 x→k (1) 3 (2) 4 2 3 (3) 3 (4) 8 8 3
What This Question Tests
This question tests the ability to evaluate limits of indeterminate forms (0/0 type), either by factorization or by applying L'Hôpital's rule, and then solving for an unknown constant 'k'.
Concepts Tested
Formulas Used
lim (x^n - a^n) / (x-a) = n a^(n-1)
L'Hôpital's Rule
📚 NCERT Sections This Tests
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.
3.23 — The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1
Chemistry Class 11 · Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
3.16 — The Rate Constant For A First Order Reaction Is 60 S–1. How Much Time Will
Chemistry Class 11 · Chapter 3
3.16 The rate constant for a first order reaction is 60 s–1. How much time will it take to reduce the initial concentration of the reactant to its 1/16th value?
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Evaluation of limits
- Year
- 2019
- Shift
- 10 Apr Shift 1
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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