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  • 0 posts edited
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  • 167 votes cast
Jun
7
comment Proving the inequality $2^{-1+\frac{1}{n}}\left(x+1\right)\leq\left(x^{n}+1\right)^{\frac{1}{n}}$ for $n\in\mathbb{N} $ and $x>0$
@Stromael, fixed, thanks...
Jun
6
comment Proving the ranges of repeated iteration of a one-to-one function from $X$ to a subset are disjoint
That is simple enough, thanks!
Jun
5
comment Determinant of matrix with trigonometric functions
Well that makes sense, I failed to see it split like that myself ><". Thank you
Jun
5
comment Determinant of matrix with trigonometric functions
@Mann I didn't get it honestly :/ Still thinking about it, I do see that there seems to be a pattern of matrix multiplication after expanding to $\cos(a_i)\cos(b_j)+\sin(a_i)\sin(b_j)$ but wasn't able to take it any further than that...
Jun
5
comment Determinant of matrix with trigonometric functions
@NeilRoy I did that myself as well :P Unfortunately it didn't help me too much...
May
26
comment find the rank of a linear mapping such that $T^2=0$
Since you need just one correct answer, what happens if $T\equiv0$?
May
26
comment Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
I see.. Thank you!
May
25
comment Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
Oh wow... looks like I'm already too tried.. Thank you very much
May
25
comment Limit of $\frac{f\left(x+g\left(x\right)\right)-f\left(g\left(x\right)\right)}{x}$ as $x\to 0$
oopse, fixed...
May
25
comment Using the same limit for a second derivative
hmm I understand. Is there a similar proof without L'Hopital? As we haven't learned it yet I'm not sure I can use it.. Thanks anyway :)
May
18
comment Finding the limit at $a$ of $\left(\frac{f\left(x\right)} {f\left(a\right)}\right)^{\frac{1}{g\left(x\right)}}$
$\ln x $ is differentiable at $x\neq 0$ and $f(x) $ differentiable at $x$ so by the chain rule it's differentiable there? And this actually makes a lot of sense, though I'm not sure how I could think of something like that myself
May
12
comment Proving the Takagi function is lipschitz for $c\cdot d<1$
Took me a day buy I got it. Thanks
May
5
comment Proving that a union of a countable and an uncountable set is equivalent to the uncountable set (proof check)
@tetori This is the next topic so I guess I'll realize it soon :P
May
4
comment Analysis: Basic Sequence Proof
Didn't downvote myself, but I think it's getting downvoted because it answers the half of what he asks that is "hidden" at the end.
May
4
comment Analysis: Basic Sequence Proof
Yep, you got it.
Apr
28
comment Show that the series is absolutely convergent
Is showing that the series of absolute values converges enough to conclude that the original series converges absolutely, or do you have to show that the original series converges as well?
Apr
23
comment Does Russel's paradox preclude us from using the power set to generate every possible set?
Well as far as I understand, "the set of all things" is not a set, you can't just say "I take everything and call it $A$", and there is actually quite a delicate process describing what is or isn't a set.
Apr
23
comment Fixed point of a differentiable function on a closed interval
@cantorhead, oh well that makes it easy. Thanks!
Apr
23
comment Fixed point of a differentiable function on a closed interval
@GitGud Oh oops, fixed
Apr
14
comment Finding a counter example for $ \left(A+A\right)'\subseteq\left(A'+A\right)\cup\left(A'+A'\right)$
I thought about the idea of searching for a set $A$ with no limit points, such that $A+A$ will have a limit point, but wasn't able to figure one out myself. Even the solution you gave took me quite a while to understand, but I get it now. Thanks!