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 Mar22 revised Interchanging supremum and integral (another question) improviment on LaTeX codes. Mar18 comment When a function contains a sequence, and how to find the function's limit? @ElleryLai Do not intend to exhaust all cases to be analyzed. In the case of home work, is not purpose of this site provide full answers. Mar18 comment When a function contains a sequence, and how to find the function's limit? @Ellery If $\lim_{n\to \infty}\frac{n}{x\cdot a_n}=L\neq 0$ and $L\in\mathbb{R}$ then the question is trivial. In your secont coment you are right. I hope helped you. Mar18 answered When a function contains a sequence, and how to find the function's limit? Mar14 reviewed Close About a norm : $p(uv)=p(u)p(v)$ all the time? Mar14 reviewed Close $E[x_i^2 x_j^2]$ for white Gaussian noise Mar14 reviewed Reject puzzle tag wiki excerpt Mar12 revised Proof of Banach's homeomorphism theorem without the contraction map principle. added 12 characters in body Mar12 comment Proof of Banach's homeomorphism theorem without the contraction map principle. @UmbertoP. Yes. There is. But speaking in terms of mathematics fundamentals I do not believe that such a test would find walking through results that were independent of Banach's fixed point theorem or domain invariance theorem. I think I could proof that uses connectness. I am writing a review about the implicit function theorem. Indeed an alternative proof that does not use the Banach's fixed point theorem. Mar12 revised Proof of Banach's homeomorphism theorem without the contraction map principle. edited body Mar12 asked Proof of Banach's homeomorphism theorem without the contraction map principle. Mar12 revised Inverse Function Theorem. On the classical method of proof. added 37 characters in body Mar12 revised Inverse Function Theorem. On the classical method of proof. Tag's and references. Mar6 comment Inverse Function Theorem. On the classical method of proof. @Siminore No. I had not seen this issue in MathOverflow. The answer ultimately lead me to references I've consulted. Thanks anyway. +1. Mar6 revised Inverse Function Theorem. On the classical method of proof. added 3 characters in body Mar6 asked Inverse Function Theorem. On the classical method of proof. Mar6 revised evaluation the integral deleted 10 characters in body Mar5 revised Real analysis book suggestion added 3 characters in body Feb28 revised Matrix convexity! edited tags Feb25 revised Real analysis book suggestion added 132 characters in body