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 Apr 23 awarded Notable Question Feb 6 awarded Notable Question Nov 22 awarded Popular Question Aug 9 awarded Popular Question Apr 19 awarded Popular Question Sep 25 awarded Yearling Feb 5 comment What symbol should I invoke in order to present the angle between two vectors? It's just a matter of notation, since we don't like to write the words "the angel between vector a and b" over and over again in our claims. Feb 5 accepted Calculate $\lim\limits_{x \to 0}{\frac{||a + xb|| - ||a||}{x}}$. Feb 5 asked Calculate $\lim\limits_{x \to 0}{\frac{||a + xb|| - ||a||}{x}}$. Feb 5 comment What symbol should I invoke in order to present the angle between two vectors? I know that symbol. But it seems to be used in the occasion where an angle is made by three points or just to use an alphabet to represent an angle without indicating form of the angle. Feb 5 asked What symbol should I invoke in order to present the angle between two vectors? Jan 27 revised Prove that $\lim\limits_{x\rightarrow+\infty}\frac{x^k}{a^x} = 0\ (a>1,k>0)$ added 123 characters in body Jan 27 comment Prove that $\lim\limits_{x\rightarrow+\infty}\frac{x^k}{a^x} = 0\ (a>1,k>0)$ You're right. But this problem expects some kind of way that use basic properties and definition of limits. Jan 27 comment Prove that $\lim\limits_{x\rightarrow+\infty}\frac{x^k}{a^x} = 0\ (a>1,k>0)$ Note that x is not necessarily a integer. You've just proved it in sequence situation. Jan 27 comment Prove that $\lim\limits_{x\rightarrow+\infty}\frac{x^k}{a^x} = 0\ (a>1,k>0)$ @Clayton Sorry, but that rule is not allowed here. > < Jan 27 asked Prove that $\lim\limits_{x\rightarrow+\infty}\frac{x^k}{a^x} = 0\ (a>1,k>0)$ Oct 14 comment Use $\epsilon\ -\ \delta$ definition to prove $\lim\limits_{x \rightarrow x_0}\sqrt[3]{f(x)} = \sqrt[3]{A}$ I'm trying to do this. But how can I bound $(f(x)A)^{\frac{1}{3}}$? Oct 14 comment Use $\epsilon\ -\ \delta$ definition to prove $\lim\limits_{x \rightarrow x_0}\sqrt[3]{f(x)} = \sqrt[3]{A}$ @EuYu Yes. Because this problems comes from the exercises of my textbook, I suppose that I should prove it without proving more general situation (or this specific question seems to be useless). Thanks for the material. :) Oct 14 comment Use $\epsilon\ -\ \delta$ definition to prove $\lim\limits_{x \rightarrow x_0}\sqrt[3]{f(x)} = \sqrt[3]{A}$ Well, I'd like to use epsilon-delta definition to prove that. (Requirement for homework) Oct 14 revised Use $\epsilon\ -\ \delta$ definition to prove $\lim\limits_{x \rightarrow x_0}\sqrt[3]{f(x)} = \sqrt[3]{A}$ added 93 characters in body