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Results tagged with real-analysis
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user 6104
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Is the following identity true?
Calculation suggests the following identity:
$$
\lim_{n\to \infty}\sum_{k=1}^{n}\frac{(-1)^k}{k}\sum_{j=1}^k\frac{1}{2j-1}=\frac{1-\sqrt{5}}{2}.
$$
I have verified this identity for $n$ up to $5000$ …
- 43.2k