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16h
comment Let the limit be limit of $(\arctan(x))^x$ as $x\to0$ then
@nagu Just saying "I am completly stuck" simply isn't going to cut it here. Especially if you say it 5 minutes after you are told to show what you tried. Yes, believe it or not, there exist problems you cannot solve in 5 minutes. And no matter how hard the problem, there is always at least something you can try. If you did, then tell us what you tried. If you didn't, then sit down, take a deep breath, grab a book and get to work.
20h
answered In $\mathbb{Z}_{79}$, $(\alpha\gamma + 66\beta\delta, \alpha\delta + 6\beta\gamma) = (0,0) \implies (\gamma, \delta) = (0,0)$
21h
comment Methods for first order PDEs in higher dimensions
Characteristic curves are the way to go, in general.
21h
comment Riemann integrability given by limit of $\frac 1n \sum_{k=1}^n[f(k/n)]$
What is $N$ in this case?
21h
comment the maxima of given function
For one thing, you are missing any proof that you found the result by anything other than chance...
21h
revised the maxima of given function
added 1 character in body
22h
comment Estimating the Riemann integral of $f$ using an upper bound for $f$
It's weird when people leave their questions in a limbo. Was the answer you recieved for your question acceptable? If yes, then you should accept it. If not, can you explain what is wrong with the answer?
2d
comment Real Analysis Sets, Uncountable, Interval Question
@zagadka314 Yes, my comment disappeared because it was an answer to some other comment which was deleted, so I deleted mine. I won't post answers to the question until BPC3 improves his answer and shows some effort. As it stands, the question is ripe for deletion.
2d
comment Real Analysis Sets, Uncountable, Interval Question
Also, edit your question with your own attempts at solving them.
Feb
5
comment Sine improper integral
I suppose what you can show (and what physicists think is correct) is that $$\lim_{n\to\infty}\int_{-n}^n \sin x dx = 0$$
Feb
4
revised Show that if $g:[a,b] \to\mathbb{R}$ is continuous, then there exists a point $\bar{x}\in(a,b)$ such that $g(x)=\frac{1}{b-a}\int_a^b g(t)dt$
deleted 155 characters in body; edited title
Feb
4
answered Show that if $g:[a,b] \to\mathbb{R}$ is continuous, then there exists a point $\bar{x}\in(a,b)$ such that $g(x)=\frac{1}{b-a}\int_a^b g(t)dt$
Feb
4
comment Prove $\int x^n\,dx=\frac{x^{n+1}}{n+1}.$
Doesn't really matter, the question was closed anyway...
Feb
4
comment $R[x]$ has a subring isomorphic to $R$
I see no reason for your mapping to be one-one. For example. $f(x)=a_0$ and $g(x)=a_0 + x^2$ both map to $a_0$.
Feb
4
comment Prove $\int x^n\,dx=\frac{x^{n+1}}{n+1}.$
Even if he does know it, the question he posted is still terribly bad, and the OP is completely uncooperative in his comments. A question like his does nothing to improve the quality of this site, and does not deserve an answer.
Feb
4
comment Prove $\int x^n\,dx=\frac{x^{n+1}}{n+1}.$
@ArchisWelankar The question has 3 downvotes and 4 close votes. Unless you improve the question, you can expect that it will be closed within the next hour...
Feb
4
comment Prove $\int x^n\,dx=\frac{x^{n+1}}{n+1}.$
I didn't downvote, but I think the downvote was because the question itself is of very low quality, and the author should first improve the answer before he can expect to get good answers. It is for now very unclear if he even knows about the connection between integrals and derivatives...
Feb
2
answered Prove continuity of function
Feb
2
comment Would this solution of the limit of the sequence be correct?
Well done! If I was your professor, I would just ask you to clarify how you know that $$\lim_{n\to\infty} \frac{n+1}{2n} = \lim_{n\to\infty}\frac{n}{2n}$$
Feb
2
comment What does the integral of position with respect to time mean?
@10Replies OK, that's a good point. I'm not bothered with you saying "this could have a meaning, I wonder if it does". I was compelled to comment because I feel your question is more like "I know this has a meaning, tell me what it is!"