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 Yearling
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Jan
23
awarded  Yearling
Jan
11
comment Showing that if a function is $O(x^2)$, then it's also $o(x)$
For $x \to a\neq 0$ you have $O(x^2) = O(1)$ and $o(x) = o(1)$. And yes, they are different.
Jan
8
answered Why is it unacceptable to say “the range is a function of the domain”?
Jan
7
comment Showing that if a function is $O(x^2)$, then it's also $o(x)$
Whatever is $C$ one has that $C|x|\to 0$ as $x\to 0$.
Jan
7
comment A positive measurable and improper integrable function is integrable
yes, it is correct.
Jan
7
comment A positive measurable and improper integrable function is integrable
We can but not have to.
Jan
7
answered A positive measurable and improper integrable function is integrable
Jan
7
answered Showing that if a function is $O(x^2)$, then it's also $o(x)$
Jan
7
comment Rational and irrational numbers under base pi
I don't know. But here en.wikipedia.org/wiki/Non-integer_representation you find some references.
Jan
7
revised Rational and irrational numbers under base pi
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Dec
31
revised How to solve the integral $\int\frac{x-1}{\sqrt{ x^2-2x}}dx $
deleted 1 character in body
Dec
31
answered Impossible events that actually happened
Dec
29
comment What is the value of $\frac{\sin x}x$ at $x=0$?
I would not say that $f$ is not continuous at $x=0$. Continuity is only defined for points of the domain.
Dec
28
revised Prove that $|f|\leq 1$ whenever $|x|\leq 1$.
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Dec
28
answered Prove that $|f|\leq 1$ whenever $|x|\leq 1$.
Dec
20
comment Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital
Do you know that $\sin(t) / t \to 1$ as $t\to 0$?
Dec
20
revised Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital
added 174 characters in body
Dec
20
answered Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital
Dec
20
comment Wind vector transformation from Gaussian grid to displaced pole grid
Could you provide the formula used to transform points?
Dec
19
answered I would like to calculate the following limit: $\lim_ {n \to \infty} {\left( {n\cdot \sin{\frac{1}{n}}} \right)^{n^2}}$