- calculus - What is infinity divided by infinity? - Mathematics Stack . . .
I know that $\\infty \\infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
- Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
In my work "=" is the identity of a number so it states an equivalence 1=1, 2x=10 ie x =5 The approximation sign "≈" I use for decimal approximations with tilde "~" being a rougher approximation
- Mathematics Stack Exchange
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- factorial - Why does 0! = 1? - Mathematics Stack Exchange
$\begingroup$ The theorem that $\binom{n}{k} = \frac{n!}{k!(n-k)!}$ already assumes $0!$ is defined to be $1$ $ Otherwise this would be restricted to $0 <k
- How to prove the divisibility rule for $3\\, $ [casting out threes]
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- linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold . . .
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- Given the numerical succession 5, 55, 555, 5555, 55555. . . Are there . . .
I get the solution (555555555555555555) by using prime factorization But I was wondering if there is a solution using modular arithmetic
- Taylor series of $\\ln(1+x)$? - Mathematics Stack Exchange
Note that $$\frac{1}{1+x}=\sum_{n \ge 0} (-1)^nx^n$$ Integrating both sides gives you \begin{align} \ln(1+x) =\sum_{n \ge 0}\frac{(-1)^nx^{n+1}}{n+1}\\ =x-\frac{x^2
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