Question

Test the following series for convergence:

 

equation

04 Sep 2025
Answer :
Word Count : 100
The given series is: $$ \frac{1}{3\cdot4} + \frac{\sqrt{2}}{5\cdot6} + \frac{\sqrt{3}}{7\cdot8} + \cdots $$ We denote the general term as: $$ a_n = \frac{\sqrt{n}}{(2n+1)(2n+2)} $$ For _____ _______ __________ ___ ___ ____ ______ ________ ____ __________ _______.
______ ______ _________ __________ ______ _____ _______ ______ ______ ___ ____.
________ __________ ________ ___ __________ ___ ______ _________ _______ ______.
____ ____ ______ _____ __________ ____ ____ ___ ____ _________.
____ ___ _____ ___ _______.
_______ ___ ___ __________ _______ ________ ____ _________ ________ ______ _________ ________.
___ ____ _____ _______ _________ __________ ______ _________.
____ ________ __________ ___ _______.
____ ________ _________.
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