Q83.If n→∞( (1) 17 (2) 15 2 2 (3) 7 (4) 8
What This Question Tests
This question is a challenging limit problem requiring conversion of complex summation expressions into definite integrals (Riemann sums) by careful manipulation of the terms, and then evaluating the resulting integral.
Concepts Tested
Formulas Used
lim(n→∞) (1/n) Σ f(k/n) = ∫₀¹ f(x) dx
📚 NCERT Sections This Tests
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
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.
8.2 — Name The Following Compounds According To Iupac System Of Nomenclature:
Chemistry Class 12 · Chapter 8
8.2 Name the following compounds according to IUPAC system of nomenclature: (i) CH3CH(CH3)CH2CH2CHO (ii) CH3CH2COCH(C2H5)CH2CH2Cl (iii) CH3CH=CHCHO (iv) CH3COCH2COCH3 (v) CH3CH(CH3)CH2C(CH3)2COCH3 (vi) (CH3)3CCH2COOH (vii) OHCC6H4CHO-p
📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Limits involving summation (Riemann sum)
- Year
- 2017
- Shift
- 09 Apr Online
- Q Number
- Q83
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals (as Riemann sums are a foundational concept for definite integrals)
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