• 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 | 87 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 | 87 view(s)
• March 27th, 2020, 23:42
Here is this week's POTW: ----- Find the minimum value of $(u-v)^2+\left(\sqrt{2-u^2}-\dfrac{9}{v}\right)^2$ for $0<u<\sqrt{2}$ and $v>0$. ...
0 replies | 82 view(s)
• March 27th, 2020, 23:38
Hi MHB! I have decided to extend the deadline by another week so that our members can give this problem another shot and I am looking forward to...
1 replies | 202 view(s)
• March 20th, 2020, 02:18
Here is this week's POTW: ----- Show that the set of real numbers $x$ which satisfy the inequality \sum_{k=1}^{70}\dfrac{k}{x-k}\ge...
1 replies | 202 view(s)
• March 20th, 2020, 02:15
Congratulations to the following members for their correct solution! 1. castor28 2. lfdahl 3. kaliprasad 4. Oxide Solution from Oxide: ...
1 replies | 231 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 | 53 view(s)
• March 13th, 2020, 10:03
Here is this week's POTW: ----- How many perfect squares are divisors of the product $1!\cdot 2! \cdot 3! \cdots 9!$? ----- Remember to...
1 replies | 231 view(s)
• March 13th, 2020, 09:58
Congratulations to the following members for their correct solution!(Cool) 1. castor28 2. kaliprasad 3. lfdahl Solution from castor28: The...
1 replies | 272 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 | 630 view(s)
• March 4th, 2020, 09:34
Here is this week's POTW: ----- Consider the sequence of numbers 4, 7, 1, 8, 9, 7, 6, ... For $n>2$, the $n$th term of the sequence is the...
1 replies | 272 view(s)
• March 4th, 2020, 09:31
Congratulations to the following members for their correct solution! 1. castor28 2. MegaMoh Solution from castor28: If the generic point of...
1 replies | 396 view(s)
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### 14 Visitor Messages

1. Thanks, you are doing a great job. I went through your Laplace transform tutorial. It is a good practice to try the Laplace transform of some new functions, and it is fun as well.
2. Er, DW, your .sig seem to be getting out of the separator of every post, so sometimes they are almost unreadable. Can you do something about it?
3. Wow, thanks for the new tutorial DW, it's just what I needed, a brief series of values of polygamma function and a closed formula in general. Thanks again! (To reply Visitor Messages, first click on "View Conversation" then reply to it)
4. Thanks for the tip, Balarka!! I've corrected it now... Was referencing a paper on arXiv.
5. DW, in your #3 post in "Generalized Log-Trig series related to the Hurwitz Zeta", shouldn't the Dirichlet characters be defined over $\mathbb{Z}/8\mathbb{Z}$ instead of what is given? $\mathbb{Z}/8$ is a weird beast...
6. DW, you should post those special value of Clausen function you have found out on the wiki article. It's nearly stub, I wonder why they didn't add that tag to it.
7. Not a bad idea, but it takes all the fun out of it...

It is pretty funny, mind... Folks join up, can get their heads around mind-bending equations, but fall foul of basic forum software. Oh dear!
8. Some have even humorously suggested we need to present a User's Manual to people when they join due to all the features we have here. Perhaps someday I will write such a manual...hehehe.
9. Thanks Mark! Just been toying around a bit and found out where to go. Cheers for your help!
10. Hey Gethin,

Here is a link to a topic explaining how to respond to visitor messages so that it gets posted on the recipient's wall:

http://mathhelpboards.com/questions-...hlight=message

Best Regards,

Mark.
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#### Basic Information

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#### Signature

Conjecture: Life is ridiculous.

Proof: $\displaystyle X-Factor \in \{Life\}$, and $\displaystyle X-Factor \in \{ridiculousness\}$

$\displaystyle \therefore\, \{ Life \} \cap \{ ridiculousness \} \ne \varnothing \quad Q.E.D.\, \Box$

$\displaystyle {\color{Blue}\mathscr{H}\mathfrak{e} }{\color{Fuchsia}\, = \, } {\color{RedViolet} \mathcal{MC}} ^{\color{OrangeRed}\mathsf{\, Scared !!}}$

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