Q66. lim cos(sin x)−cos x is equal to x→0 x4 (1) 1 (2) 1 3 6 (3) 1 (4) 1 4 12
What This Question Tests
This question tests the ability to evaluate complex limits using either multiple applications of L'Hôpital's Rule or, more efficiently, by using Taylor/Maclaurin series expansions for trigonometric functions.
Concepts Tested
Formulas Used
lim(f(x)/g(x)) as x->0
cos x = 1 - x^2/2! + x^4/4! - ...
sin x = x - x^3/3! + x^5/5! - ...
📚 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.
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Evaluation of Limits
- Year
- 2022
- Shift
- 26 Jun Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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