Best approximation for
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Misael Matthews
Answered question
2022-06-14
Best approximation for ? I need the best approximation for . Any suggestion or hint is welcomed. I derived so is there any better one ?
Answer & Explanation
Josie Stephenson
Beginner2022-06-15Added 20 answers
Euler-Maclaurin series:
for some constant C, where
Numerically it appears
Roland Manning
Beginner2022-06-16Added 5 answers
You can use the Euler-Maclaurin Sum Series. The first few terms are
We won't worry about any terms past the first since we need to approximate the integral asymptotically, and the terms in that expansion are bigger than .