# jip

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bio website location age member for 2 years, 8 months seen 14 hours ago profile views 917

sometimes I am slow accepting answers, but I will eventually

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 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. Nov20 accepted Rank Theorem proof Nov20 awarded Popular Question Nov18 comment Rank Theorem proof May I ask where you get the map $G$ from? Nov17 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 $f(1).$ Nov17 comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$ How is $\int_{1-\delta}^1 (n+1) x^n f(x) \,dx \approx f(1) \int_\delta^1 (n+1) x^n \,dx$ justifiedâ€¦? Nov17 comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$ Why $x = 1$ is important here. Nov17 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? Nov17 comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$ The limit is $0$ unless $x = 1$. Nov17 comment Interesting deceiving limit $\lim \int_{0}^{1} (n + 1)x^n f(x) dx$ Can I ask why are we looking at $x = 1$?