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Questions › DSE › DSE 2015 › Q32
2 marks, −0.666666666666667Mathematics › Sequences, series and convergence › Sequences and their limitsEasyabout 2 min

DSE 2015 Question 32: Sequences, series and convergence

As n↑∞n\uparrow\inftyn↑∞, the sequence (−1)n ⁣(1+n−1)(-1)^n\!\left(1+n^{-1}\right)(−1)n(1+n−1)

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As n↑∞, the sequence (-1)ⁿ(1+n⁻¹) (A) converges to 1 (B) converges to -1 (C) converges to both -1 and 1 (D) does not converge

Also written as: As n up inf, the sequence (-1)^n(1+n^(-1))

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

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Question from the DSE 2015 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.