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Sep
17
awarded  Popular Question
Sep
17
reviewed Reject Property of $W_0^{1,p}(\Omega)$
Sep
16
answered Solving one-sided limits analytically
Sep
10
comment Infinite amount of additions, finite sum?
@ZoltánSchmidt: While I found your question interesting, I think at some point you just need to accept that adding an infinite amount of terms can result in a finite result, and the intuition will come later. Someone on this site once quoted something along the lines of "In math, we don't understand things; we just get used to them". Try to work out the $\sum \frac1{2^n}$ example. It's easy to do and it will give you some insight as to why the total sum is $2$ and not $\infty$.
Sep
10
comment Is it true that $ \sum \limits_{i=1}^{\infty} f(i) = \lim_{n \to \infty} \sum \limits_{i=1}^{n} f(i) $?
By the way, it doesn't make sense to ask if this holds for all $n$, since $n$ isn't a free variable.
Sep
9
revised Why can't we substitute in limits for other limits?
added 2 characters in body
Sep
8
comment $f(x)=f(x^2+ 1/4)$ , $f$ is continuous from $\mathbb{R}$ to $\mathbb{R}$
$f$ can't be one-to-one, since for example $f(0) = f(\frac14)$.
Sep
7
answered Problem with differentiation as a concept.
Sep
7
comment Problem with differentiation as a concept.
Small correction: The definition is either $\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$ or $\lim_{x \to x_0} \frac{f(x)-f(x_0)}{x-x_0}$.
Sep
4
comment Integration of function
The binomial theorem proper only works when the power is a positive integer. You could get a series expansion, but otherwise I doubt this has a closed form. If it was a definite integral, you may be able to relate to the beta function using the substitution $u=\frac{a}{x}$.
Sep
4
comment Integration of function
Please make sure I did the LaTeX right. Is it $1+\frac{a}{x}$ or $\frac{1+a}{x}$?
Sep
4
revised Integration of function
latex
Sep
3
answered Reasoning Behind Holes in Rational Functions
Sep
2
comment Easy way to find the streamlines
If you're not supposed to do it rigorously, then sketching $\mathbf{F}$ at a few select points can give you an idea.
Sep
2
comment What's the Period of This Function?
Try graphing it, for particular values of $k$.
Sep
1
revised Limits/partial derivative
added 2 characters in body
Aug
30
comment The Inequalities
I'm not sure I understand the question, and I don't have the book. Would you mind rephrasing it a bit?
Aug
30
revised Finding the inverse of $y= 100(1-0.9^t)$
edited tags and LaTeX
Aug
24
comment why $x^2 = y^3$ is not smooth?
Usually you require that the derivative is never zero, which in this case happens at $t = 0$.
Aug
23
comment How to indicate keeping the sign when squaring a number.
While $x \cdot |x|$ certainly works, there's nothing wrong with the cases definition, and it's actually easier to understand.