Word Count : 243

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दी गई श्रेणी है: $$ \frac{1}{3\cdot 4} + \frac{\sqrt{2}}{5\cdot 6} + \frac{\sqrt{3}}{7\cdot 8} + \dotsb $$ सामान्य पद को लिखते हैं: $$ a_n = \frac{\sqrt{n}}{(2n+1)(2n+2)}, \quad n=1,2,3,\dots $$ हम इसे सरल रूप में लिख सकते हैं: $$ a_n = \frac{\sqrt{n}}{(2n+1)(2n+2)} = \frac{\sqrt{n}}{2 \cdot (2n+1)(n+1)} $$ लेकिन अभिसरण के _____ ________ __________ ___ ______ ____ ______ ________ _______ _________ _________ ________.
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