Q65.If x→∞(√x2 (1) (1, −12 ) (2) (−1, 21 ) (3) (−1, −12 ) (4) (1, 21 )
What This Question Tests
This problem requires evaluating a limit of an indeterminate form (∞ - ∞) by rationalizing the expression and then comparing coefficients to find the values of 'a' and 'b'.
Concepts Tested
Formulas Used
lim (f(x) - g(x)) as x->infinity
Rationalization (a-b)(a+b) = a²-b²
📚 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.
12.1 — (A) No Different From
Physics Class 12 · Chapter 12
12.1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Limits at Infinity
- Year
- 2021
- Shift
- 27 Aug Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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