Can the Integral of a Difficult Series be Simplified?

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The discussion centers on the simplification of a complex series involving a square root, referencing the Wikipedia page on infinite series. The user seeks assistance in determining whether the series can be simplified or if it is inherently unsolvable. They inquire about the applicability of the Euler-Maclaurin formula as a potential solution method. The conversation highlights the challenges posed by the square root in the series and the need for clarity on the specific goals of the simplification.

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Kruger
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What I'm trying is to rewrite this as on this webpage http://en.wikipedia.org/wiki/Series_(mathematics) under the topic "Some types of infinite series".

It would not be difficult if the square rood weren't there. Can somebody help. Thanks for any help.
 
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Can we solve this or is this just unsolvable? Or can one only find something by applying the Euler-Mclaurian formula?
 
You haven't stated what you are after exactly.
 

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