Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › JNU › JNU SSS 2020 › Q36
1 markMathematics › Sequences, series and convergence › Convergence of seriesModerateabout 1 min

JNU SSS 2020 Question 36: Sequences, series and convergence

The sequence Sn=111+122+⋯+1nnS_n = \dfrac{1}{1^1} + \dfrac{1}{2^2} + \cdots + \dfrac{1}{n^n}Sn​=111​+221​+⋯+nn1​, ∀n∈N\forall n \in N∀n∈N is :

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

The sequence Sₙ = 1/1¹ + 1/2² + ⋯ + 1/nⁿ, ∀ n ∈ N is: (A) oscillating (B) convergent (C) divergent (D) none of these

Also written as: The sequence S_n = 1/1^1 + 1/2^2 +... + 1/n^n, for all n in N is:

Sequences, series and convergence has come up 33 times in 5 exams since 2006.

What this question tests

This question is on Convergence of series, part of Sequences, series and convergence in Mathematics.

Tests for whether an infinite sum converges.

TestStop has 11 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q9Which one of the following statements is correct?
Practise Sequences, series and convergenceMore on Convergence of series

Similar questions from other papers

  • UGC-NET 2025 · Q49Match List-I with List-II. | List-I | List-II | A. nth term of an Arithmetic Progression | I. n/2[2a + (n-1)d] | B. nth term of a Geometric Progression | II. a((rⁿ…
  • CUET-PG 2023 Shift 1 · Q83Second-order Taylor series approximation of f(x) = ln (1+x) at x = 0 is 1. x - x²/2 2. x + x²/2 3. -x - x²/2 4. -x + x²/2
  • CUET-PG 2023 Shift 2 · Q63Second order Taylor series expansion of y = ln (1-x) is:
  • IIT JAM 2023 · Q18Let aₙ=(1+1/n)^(n/2) be the n th term of ⟨ aₙ⟩. Which one is NOT CORRECT?

Question from the JNU SSS 2020 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.