Question
श्रेणी के अभिसरण की जाँच कीजिए।
Answer :
Word Count : 86
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दी गई श्रेणी [ \sum_{n=1}^{\infty}\frac{(-1)^{,n+1}n}{n^3+1} ] है। इसके अभिसरण की जाँच के लिए पहले इसके परिमाण की श्रेणी पर विचार करते हैं: [ \sum_{n=1}^{\infty}\left|\frac{(-1)^{,n+1}n}{n^3+1}\right| =\sum_{n=1}^{\infty}\frac{n}{n^3+1}. ] जब (n) बड़ा होता है, तब [
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