Q16.The value of limn→∞(∑nk=1 k3+6k2+11k+5(k+3)! ) (1) 4/3 (2) 2 (3) 7/3 (4) 5/3
What This Question Tests
This question involves simplifying a rational expression involving factorials, recognizing it as a telescoping series, and then evaluating its sum as n approaches infinity.
Concepts Tested
Formulas Used
k³+6k²+11k+5 = (k+1)(k+2)(k+3)-1
∑(f(k)-f(k+1))
📚 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.
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.
3.16 — The Rate Constant For A First Order Reaction Is 60 S–1. How Much Time Will
Chemistry Class 11 · Chapter 3
3.16 The rate constant for a first order reaction is 60 s–1. How much time will it take to reduce the initial concentration of the reactant to its 1/16th value?
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Summation of Series
- Year
- 2025
- Shift
- 29 Jan Shift 1
- Q Number
- Q16
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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