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Questions › DSE › DSE 2017 › Q22
2 marks, −0.666666666666667Mathematics › Sequences, series and convergence › Sequences and their limitsEasyabout 2 min

DSE 2017 Question 22: Sequences, series and convergence

lim⁡n→∞(1+12n)5n\displaystyle\lim_{n\to\infty}\left(1+\frac{1}{2n}\right)^{5n}n→∞lim​(1+2n1​)5n equals

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lim_(n→∞)(1+1/2n)⁵ⁿ equals (A) e² (B) e²·⁵ (C) ∞ (D) e¹·⁵

Also written as: lim_(n-> inf)(1+1/2n)^(5n) equals

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 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.