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Questions › JNU › JNU SIS 2021 › Q98
0 marksMathematics › Sequences, series and convergence › Convergence of seriesModerateabout 1 min

JNU SIS 2021 Question 98: Sequences, series and convergence

The infinite series ∑n=1∞nn3+5\sum_{n=1}^{\infty} \frac{n}{n^3+5}∑n=1∞​n3+5n​

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The infinite series Σₙ₌₁^∞ n/(n³+5) (A) Converges by the nth term divergence test (B) Diverges by the comparison test (C) Converges by the comparison test (D) Diverges by the ratio test

Also written as: The infinite series sum_(n=1)^(inf) n/(n^3+5)

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 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.