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 Sep20 revised Help with volume integration added 121 characters in body Sep20 asked Help with volume integration Sep19 awarded Nice Question Sep18 accepted Linear Algebra Problem Sep18 revised Linear Algebra Problem deleted 1 characters in body Sep18 asked Linear Algebra Problem Sep18 comment Does $\lim_{x\rightarrow 0}\frac{c}{|x|}$ exist? Your calculus textbook does warn you about the case $g(x)\neq 0$ so why consider it? Sep17 comment Intuition behind this theorem in linear algebra @Arturo what do you mean by: "... vector space is free on the basis" Sep17 comment Intuition behind this theorem in linear algebra Reference: Page 95 , 2nd Ed. Page 56 in third edition, here is the preview Sep17 asked Intuition behind this theorem in linear algebra Sep17 revised How could we manually approximate $\sum_{i=1}^{50} i! = 3.1035 \times 10^{64}$? edited tags Sep17 answered How could we manually approximate $\sum_{i=1}^{50} i! = 3.1035 \times 10^{64}$? Sep16 comment Is the extra condition in this definition superfluous? @Srivatsan if it is not finite then we cannot conclude that $0\cdot c =0$ and the argument won't stand. Sep16 comment Is the extra condition in this definition superfluous? @Srivatsan Yes. So I guess this person's argument is right. The statement should be that order is the minimum $n$ for which the stated limit is non zero and finite. Sep16 comment Is the extra condition in this definition superfluous? @Srivatsan why not? It uses the fact that the limit for $k=n+1$ is $c\neq 0$ to show that the limit would be zero for every $k\leq n$. Re: additional comment, I agree, specially after seeing this argument. I need a confirmation that nothing fishy is going on as this refutes an argument presented in two books. Sep15 revised Is the extra condition in this definition superfluous? added 4 characters in body Sep15 answered How to prove that $\sqrt 3$ is an irrational number? Sep14 revised Is the extra condition in this definition superfluous? added 14 characters in body Sep14 accepted Proof that a bijection has unique two-sided inverse Sep14 revised Is the extra condition in this definition superfluous? added 231 characters in body