Question
निम्नलिखित श्रेणी के अभिसरण की जाँच कीजिए:
i)
ii)
Answer :
Word Count : 221
हम दी गई श्रेणियों की अभिसरण (convergence) की जाँच करते हैं: ### (i) श्रेणी \[ S = \frac{3\times 4}{5^2}+\frac{5\times 6}{7^2}+\frac{7\times 8}{9^2}+\cdots \] #### परीक्षण 1. श्रेणी के सामान्य पद को देखेँ: \[ a_n = \frac{(2n+1)(2n+2)}{(2n+3)^2} \] ___ ___ ______ __________ ________ _____.
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हम दी गई श्रेणियों की अभिसरण (convergence) की जाँच करते हैं: ### (i) श्रेणी \[ S = \frac{3\times 4}{5^2}+\frac{5\times 6}{7^2}+\frac{7\times 8}{9^2}+\cdots \] #### परीक्षण 1. श्रेणी के सामान्य पद को देखेँ: \[ a_n = \frac{(2n+1)(2n+2)}{(2n+3)^2} \] ___ ___ ______ __________ ________ _____.
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