ymfoi
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 Aug9 awarded Popular Question Apr19 awarded Popular Question Sep25 awarded Yearling Feb5 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. Feb5 accepted Calculate $\lim\limits_{x \to 0}{\frac{||a + xb|| - ||a||}{x}}$. Feb5 asked Calculate $\lim\limits_{x \to 0}{\frac{||a + xb|| - ||a||}{x}}$. Feb5 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. Feb5 asked What symbol should I invoke in order to present the angle between two vectors? Jan27 revised Prove that $\lim\limits_{x\rightarrow+\infty}\frac{x^k}{a^x} = 0\ (a>1,k>0)$ added 123 characters in body Jan27 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. Jan27 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. Jan27 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. > < Jan27 asked Prove that $\lim\limits_{x\rightarrow+\infty}\frac{x^k}{a^x} = 0\ (a>1,k>0)$ Oct14 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 $(f(x)A)^{\frac{1}{3}}$? Oct14 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. :) Oct14 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) Oct14 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 Oct14 comment Use $\epsilon\ -\ \delta$ definition to prove $\lim\limits_{x \rightarrow x_0}\sqrt[3]{f(x)} = \sqrt[3]{A}$ @AustinMohr Sorry, I forgot to add a crucial condition. That's my fault. Oct14 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 Oct14 comment Use $\epsilon\ -\ \delta$ definition to prove $\lim\limits_{x \rightarrow x_0}\sqrt[3]{f(x)} = \sqrt[3]{A}$ Excuse me, but I wonder why you downvote?