Question

निम्नलिखित श्रेणी के अभिसरण की जाँच कीजिए:

i) equation

ii)  equation

 

18 Feb 2025
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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_________ _______ _________ ____ _____ ______ ________ ____ __________ ___.
_________ ________ _____ __________ _______ __________ ____ _________ ___ _________ ____.
___ ________ __________ ___ _______.
________ ____ _________ __________ ____ _____ __________ ____ _____ ___.
_____ ______ ____ __________ _____ _______ ____ _________ _________ _________ ________.
___ __________ __________ ____ _______ ___.
__________ _________ ____ ___ ___ ____ ____.
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_________ ___ ____ ___ ____.
_________ _________ ______ _________ _________ ____ ___ ___.
_____ ______ ___ ___ ________ ____.
______ ___ _______ __________ ________ ___ _________ ________ _________ __________ ___.
__________ _____ ___ __________ __________ ______ ________.
____ ________ _______ _____ ___ ________ ____ ___ _______ _________ _______ _______.
__________ ___ _____ _____ ___ _________.
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