Re: "College Algebra", p. 682, last full paragraph and footnote #2. Forgive my ignorance, but I'm having trouble recognizing the importance of the fact that the limit as n approaches infinity of x-to-the-n (over) n-factorial equals 0. Can you please enlighten me? Thanks in advance for the help, and a big THANKS for a most awesome precalculus textbook!
In Calculus, this fact can be used to show the infinite series: sum x^n / n! from n = 0 to infinity adds up (converges) to a number for all x... this leads to all sorts of amazing mathematics (which I won't spoil for you!) Thanks for reading!