Teaching UP TGT Mock Test Series 2025 Engineering Mathematics Combinatorics Summation

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

1
अभिसारी जब |x| > 1 
2
अपसारी जब |x| ≤ 1 
3
अपसारी जब x = 1
4
अभिसारी जब |x| ≤1 और अपसारी जब |x| > 1
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