Teaching UP TGT Mock Test Series 2025 Engineering Mathematics Combinatorics Summation

\(\sum\limits_{n = 1}^\infty {\frac{{{x^n}}}{{{n^2} + 1}}} \,\) ______

1
Convergent when |x| > 1
2
Divergent when |x| < 1
3
Divergent when x = 1
4
Convergent when |x| ≤1 and divergent when |x| > 1
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