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 › DSE › DSE 2010 › Q7
1 markMathematics › Sequences, series and convergence › Sequences and their limitsModerateabout 2 min

DSE 2010 Question 7: Sequences, series and convergence

The sequence (−1)n(1+1/n)(-1)^{n}(1+1/n)(−1)n(1+1/n), for positive integers nnn,

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

The sequence (-1)ⁿ(1+1/n), for positive integers n, (A) has limit point 1 (B) has limit point -1 (C) has limit points 1 and -1 (D) has no limit points

Also written as: The sequence (-1)^n(1+1/n), for positive integers n,

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

What this question tests

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

Whether a sequence settles down and what it settles to.

TestStop has 10 past-paper questions on this subtopic.

Practise Sequences, series and convergenceMore on Sequences and their limits

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?
  • IIT JAM 2021 · Q9Which one of the following statements is correct?

Question from the DSE 2010 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.