Q74.If Un = (1 + n2 2 n −4 n2 1 )(1 22 ) (1 n2 ) , then n→∞(Un)lim n2 is equal to (1) 16e2 (2) 4e (3) e24 (4) 16e2 dx is equal to Q75. ∫166 loge x2+loge(x2−44x+484)loge x2 (1) 5 (2) 10 (3) 8 (4) 6
What This Question Tests
This problem tests the application of standard limits for terms of the form (1+x/n) and logarithmic properties to evaluate a product limit as n approaches infinity.
Concepts Tested
Formulas Used
lim (x->0) (log(1+x))/x = 1
lim (n->∞) (1 + a/n)^n = e^a
📚 NCERT Sections This Tests
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.
13.2 — Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 · Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Limits of Sequences and Series, Logarithmic Limits
- Year
- 2021
- Shift
- 27 Aug Shift 1
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series, Class 12 Mathematics Ch 5: Continuity and Differentiability
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