Does the limit: $$\lim_{n\to\infty} \left (1+ \frac {1}{2^2}+ \frac {1}{3^3}+...+\frac {1}{n^n} \right)$$ admit a closed form?
I know only Riemann-Zeta function.I've just discovered this sum.
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Bart Michels
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Math
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I know only riemann zeta – Math Dec 04 '17 at 16:48
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2It's a constant, which equals $$\int_{0}^{1} x^{-x},dx\approx \frac{3675}{2846}.$$ See Sophomore's dream. – Jack D'Aurizio Dec 04 '17 at 16:49
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So? Please edit the question with an attempt before your question is closed as off topic. – Shaun Dec 04 '17 at 16:49
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@JackD'Aurizio Is it possible could you add a detailed answer? I dont understand. :( – Math Dec 04 '17 at 16:54
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Are you looking for a closed form? – Bart Michels Dec 04 '17 at 16:56
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1@barto ýes I looking for closed form. – Math Dec 04 '17 at 16:57
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1@Math I edited your question to make that clear then. – Bart Michels Dec 04 '17 at 16:59
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Why was the question downvoted, I dont know... – Math Dec 04 '17 at 16:59
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I saw dublicate.Okay. – Math Dec 04 '17 at 17:03