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seen Apr 8 at 9:05

Learning from scratch.


Sep
17
answered How could we manually approximate $\sum_{i=1}^{50} i! = 3.1035 \times 10^{64}$?
Sep
16
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.
Sep
16
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.
Sep
16
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.
Sep
15
revised Is the extra condition in this definition superfluous?
added 4 characters in body
Sep
15
answered How to prove that $\sqrt 3$ is an irrational number?
Sep
14
revised Is the extra condition in this definition superfluous?
added 14 characters in body
Sep
14
accepted Proof that a bijection has unique two-sided inverse
Sep
14
revised Is the extra condition in this definition superfluous?
added 231 characters in body
Sep
14
asked Is the extra condition in this definition superfluous?
Sep
14
comment Finding limit of $\lim\limits_{h\to 0} \frac1{h}\left(\frac1{\sqrt{x+h-2}}-\frac1{\sqrt{x-2}}\right)$
@Srivatsan Thanks. I edited my answer.
Sep
13
revised Finding limit of $\lim\limits_{h\to 0} \frac1{h}\left(\frac1{\sqrt{x+h-2}}-\frac1{\sqrt{x-2}}\right)$
edited body
Sep
13
revised Finding limit of $\lim\limits_{h\to 0} \frac1{h}\left(\frac1{\sqrt{x+h-2}}-\frac1{\sqrt{x-2}}\right)$
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Sep
13
revised Finding limit of $\lim\limits_{h\to 0} \frac1{h}\left(\frac1{\sqrt{x+h-2}}-\frac1{\sqrt{x-2}}\right)$
added 115 characters in body
Sep
13
answered Finding limit of $\lim\limits_{h\to 0} \frac1{h}\left(\frac1{\sqrt{x+h-2}}-\frac1{\sqrt{x-2}}\right)$
Sep
12
accepted Cycle notation question
Sep
12
accepted Why is closure omitted in some group definitions?
Sep
11
comment Why is closure omitted in some group definitions?
Yes. Yours and Arturo's assessment is correct. The existence of the binary operation was made explicit in the definitions which did not require closure. I did not notice this as I thought that of a binary operation as $*:A\times A \rightarrow \mbox{Anything}$, or didn't think of it at all.
Sep
11
asked Why is closure omitted in some group definitions?
Sep
11
comment Cycle notation question
Ahh. Thanks. I feel silly now.