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Questions › JNU › JNU SSS 2012 › Q21
1 mark, −0.25Mathematics › Sequences, series and convergence › Convergence of seriesModerateabout 1 min

JNU SSS 2012 Question 21: Sequences, series and convergence

Let S=1+1/22+1/32+1/42+1/52+⋯S = 1 + 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 + \cdotsS=1+1/22+1/32+1/42+1/52+⋯. Which of the following is true?

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Plain-text version

Let S = 1 + 1/2² + 1/3² + 1/4² + 1/5² + ⋯. Which of the following is true? (A) S = 6 (B) S = 8 (C) The sum does not converge to any finite value (D) None of the above

Also written as: Let S = 1 + 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 +.... Which of the following is true?

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 SSS 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.