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Questions › DSE › DSE 2012 › Q15
1 markMathematics › Sequences, series and convergence › Sequences and their limitsModerateabout 2 min

DSE 2012 Question 15: Sequences, series and convergence

lim⁡n→∞((n−1)−n)\displaystyle\lim_{n\to\infty}\left(\sqrt{(n-1)}-\sqrt{n}\right)n→∞lim​((n−1)​−n​)

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Plain-text version

lim_(n→∞)(√((n-1))-√n) (A) Equals 1 (B) Equals 0 (C) Does not exist (D) Depends on n

Also written as: lim_(n-> inf)(sqrt((n-1))-sqrt(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

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Question from the DSE 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.