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Questions › JNU › JNU SIS 2019 › Q19
0 marksMathematics › Sequences, series and convergence › Convergence of seriesModerateabout 1 min

JNU SIS 2019 Question 19: Sequences, series and convergence

The series ∑n=1∞n2nn!\sum_{n=1}^{\infty} \frac{n2^n}{n!}∑n=1∞​n!n2n​

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Plain-text version

The series Σₙ₌₁^∞ n2ⁿ/n! (A) Converges to a value of 1 (B) Diverges by the ratio test (C) Neither converges nor diverges (D) Converges by the ratio test

Also written as: The series sum_(n=1)^(inf) n2^n/n!

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.

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Question from the JNU SIS 2019 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.