Series \sum {n^2-1}/ {n ^ 2 +1} x^2.x > 0

Correct Answer is : Divergent for x ≥ 1

BPSC 45th Exam Prelims 2003 Solved Paper

Question : 117 of 150

Marks: +1, -0

Series

∑ {n^2-1}/ {n ^ 2 +1} x^2.x > 0

Solution:

∑ \;{n^{2}-1}/{n^{2}+1} x^{2}, x>0

The given series is divergent for

x ≥ 1

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