# All Questions

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### What does $\bigcap_{m = 1}^\infty ( \bigcup_{n = m}^\infty A_n)$ mean?

What does $\bigcap_{m = 1}^\infty ( \bigcup_{n = m}^\infty A_n)$ mean? I'm not getting it. ${A_n}$ is a sequence of set in $S$.
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### Calculating a formula for variables with multiple values equaling the same total

I'm having a bit of trouble puzzling a formula for some code I'm using to develop a piece of software. I'm not very savvy with what the technical terms for all of what I'm describing are, but I'll try ...
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### Ratio and Prop0rtion [on hold]

4 skilled workers can do a job in 5 days. 5 Sami-Skilled workers can do the same job in 6 days. How long does it take 1 Sami-Skilled and 2 skilled workers to do the job working together?
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### About negligible terms in a limit

When is it valid to deal with a term as a "negligible" one in a limit? I am asking this question because I usually do not take limits very seriously, and I can do a lot of "illegal" moves just to ...
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### Has this approximation $0.41468250985111166$ a name?

William Hughes calculated on WolframAlpha the expression $$\sum_{n=1}^{\infty} \frac{1}{2^{\operatorname{prime}(n)}}$$ and got the approximate value $0.41468250985111166$. If one enters this value ...
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### $G$ a group and $H$,$K$ subgroups, $kHk^{-1} \subseteq H \implies kHk^{-1} = H$?

As post said, if $G$ a group and $H,K \leq G$ and for FIXED $k \in K$ does $kHk^{-1} \subseteq H$ imply that $kHk^{-1} = H$ ?
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### finding min and max after removing percentage of num values knowing the standard deviation.

I have a question i have some data and i know it's (number of values, min, max, mean and standard deviation) can I know the minimum after removing x% of the total number of values and the maximum ...
### Calculate: $\lim_{n \to \infty} \frac{2^{\sqrt{(\ln n)^2 + \ln n^2}}}{n^2+1}$ and $\lim_{n \to \infty} \frac{10^{\sqrt{(\ln n)^2 + \ln n^2}}}{n^2+1}$
I have to evaluate the following limits (which are similar). However, I don't know how to evaluate them. Could you give me a hand? \lim_{n \to \infty} \frac{2^{\sqrt{(\ln n)^2 + \ln ...