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sometimes I am slow accepting answers, but I will eventually


15h
comment Integral equality $\int_{-\pi}^\pi\dots = \int_{|t|\le \delta}\dots+\int_{\delta\le |t|\le \pi}\dots$
Looks like I missed that part.
15h
comment Integral equality $\int_{-\pi}^\pi\dots = \int_{|t|\le \delta}\dots+\int_{\delta\le |t|\le \pi}\dots$
@user48481MirkoSwirko, oh wow I totally missed that.
15h
accepted Why do we swap the position in the cycle when writing disjoint cycles
15h
accepted Tensor exercise multilinear algebra
15h
accepted Intersection of normal subgroups proof
15h
accepted Prove that the limit $\lim_{n \to \infty} \frac{1}{n} \sum_{k = 1}^{n} f(x_k)$ exists
15h
comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$
Sorry i think I got lost in one part. You have shown that your whole integral is $|.| \leq f(1) \int$, how does that show the limit is $f(1)$? That part remains a mystery to me.
15h
asked Integral equality $\int_{-\pi}^\pi\dots = \int_{|t|\le \delta}\dots+\int_{\delta\le |t|\le \pi}\dots$
15h
accepted The space $C^1[a,b]$ is complete.
15h
accepted Inclusion of smooth maps implies smooth again
15h
accepted Uniform convergence on compact sets.
Nov
20
accepted Rank Theorem proof
Nov
20
awarded  Popular Question
Nov
18
comment Rank Theorem proof
May I ask where you get the map $G$ from?
Nov
17
comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$
Well I know that, but I don't understand why on $[1 - \epsilon, 1]$, that the thing tends to $f(1).$
Nov
17
comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$
How is $\int_{1-\delta}^1 (n+1) x^n f(x) \,dx \approx f(1) \int_\delta^1 (n+1) x^n \,dx$ justified…?
Nov
17
comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$
Why $x = 1$ is important here.
Nov
17
comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$
Perhaps you could explain why $g(1) = 0$ was important?
Nov
17
comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$
The limit is $0$ unless $x = 1$.
Nov
17
comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$
Can I ask why are we looking at $x = 1$?