calculus - Limit of $n!/n^n$ as $n$ tends to infinity - Mathematics ...
Aug 8, 2015 · Using a calculator, I found that $n!$ grows substantially slower than $n^n$ as $n$ tends to infinity. I guess the limit should be $0$. But I don't know how to prove ...
What are the "humpty" and "dumpty" points? - Mathematics Stack …
Nov 5, 2020 · Apologies if this isn't the right place to answer this. What are the HM points and their isogonal conjugates, also known as the Humpty and Dumpty points? I found some …
Implication Logic Truth Table Explained - Mathematics Stack …
Sep 19, 2021 · The question that has bothered me for a while has been answered and closed here (Implication in mathematics - How can A imply B when A is False?) and probably many …
How do you calculate the modulo of a high-raised number?
I need some help with this problem: $$439^{233} \\mod 713$$ I can't calculate $439^{223}$ since it's a very big number, there must be a way to do this. Thanks.
Geometry notation: what does $m\angle ABC$ mean?
Jun 10, 2017 · ∠ABC refers to the physical angle itself while m∠ABC refers to its measure. There isn't any difference between these two and it is absolutely correct to use any of them...Some …
What is larger? Graham's number or Googolplexian?
Dec 18, 2016 · See YouTube or wikipedia for the defination of Graham's number. A Googol is defined as 10100 10 100. A Googolplex is defined as 10Googol 10 Googol. A Googolplexian …
How is the determinant related to the inverse of matrix?
Sep 29, 2015 · The inverse of a matrix exists if and only if the determinant is non-zero. You probably made a mistake somewhere when you applied Gauss-Jordan's method. One of the …
In a family with two children, what are the chances, if one of the ...
May 27, 2016 · In a family with two children, what are the chances, if one of the children is a girl, that both children are girls? I just dipped into a book, The Drunkard's Walk - How Randomness …
algebraic geometry - Why is a smooth connected scheme …
More generally, locally with finitely many irreducible components is enough (each point has a neighborhood with finitely many irreducible components). The full statement is then "every …
Taylor series for $\sqrt {x}$? - Mathematics Stack Exchange
Jan 16, 2015 · I'm trying to figure Taylor series for $\\sqrt{x}$. Unfortunately all web pages and books show examples for $\\sqrt{x+1}$. Is there any particular reason no one shows Taylor …