Q74.Let [x] denote the greatest integer less than or equal to X . Then : limx→0 tan(π sin2 x)+(|x|−sin(x[x]))2x2 (1) does not exist (2) equals π (3) equals π + 1 (4) equals 0
What This Question Tests
This problem requires evaluating a limit involving the greatest integer function and trigonometric functions as x approaches 0, necessitating careful consideration of left-hand and right-hand limits due to the absolute value and greatest integer function.
Concepts Tested
Formulas Used
lim (x→0) sin x / x = 1
lim (x→0) tan x / x = 1
📚 NCERT Sections This Tests
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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
- Limits involving greatest integer function and trigonometric functions
- Year
- 2019
- Shift
- 11 Jan Shift 1
- Q Number
- Q74
- Type
- Multi concept
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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