• Yesterday, 15:04
$\newcommand{\doop}{\operatorname{do}}$ Problem: (This is from Study question 4.3.1 from Causal Inference in Statistics: A Primer, by Pearl,...
0 replies | 32 view(s)
• Yesterday, 06:35
Not quite, although you started correctly. The limit in this case is as $x\to\infty$, so you want to see what happens when $x$ gets large. This means...
3 replies | 79 view(s)
• March 31st, 2020, 14:52
Hi Goody, and welcome to MHB! To prove that \lim_{x\to\infty}\frac{x-1}{x+2} = 1, you have to show that, given $\varepsilon > 0$, you can find $N$...
3 replies | 79 view(s)
• March 19th, 2020, 08:52
Just as a heads up, when we make the switch over to XenForo I will need to close MHB temporarily to do this. I hope it won't take more than part of a...
10 replies | 2081 view(s)
• March 14th, 2020, 11:03
Hi all, I know it's been a series of "we're getting close" but the dev team I hired to help with the key pieces of functionality I listed above...
10 replies | 2081 view(s)
• March 14th, 2020, 10:49
The key to this lies in Theorem 1.3.5, which says that $x\in\overline{A} \Longleftrightarrow U\cap A\ne\emptyset$ for every (open) nbd of $x$. ...
2 replies | 94 view(s)
• March 14th, 2020, 10:01
This follows from the statement immediately before Proposition 1.3.2, where it says that $A$ is open if and only if $A = A^\circ$. Since $A^\circ$ is...
1 replies | 52 view(s)
• March 6th, 2020, 08:37
Your calculation is correct, and the answer is not one of the listed options. Maybe you should check whether you read the question correctly.
3 replies | 627 view(s)
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1. Hello and welcome back to MHB, Alexmahone!

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anemone.
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3. Hello and welcome back to MHB, Alexmahone!

We are happy to see that you have returned, and we look forward to your continued participation here!

On Behalf Of MHB's Staff,

Ackbach.
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Mark.
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9. I don't know (yet) if I've got something worth posting, but I have a comment on your last sentence.

Two things about hoping to not offend:
1. It would be rediculous to be offended, and besides somebody, inevitably, is likely to be "offended".
2. (reasonale ) Opinions are not meant to offend. By contrast, in science "offending" is not relevant.
So why should it be different when it comes to religulous matters?
melese
10. Yes indeed. I now view Bach as the better composer than Beethoven. My favorite single piece of music, though, is still Beethoven's Fifth Piano Concerto.
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