od Daniel » Utorak, 22. Oktobar 2019, 21:51
Kad god vidiš izraz oblika jedan plus nešto pa na neki eksponent, to onda vuče ka onom poznatom limesu [inlmath]\lim\limits_{x\to\infty}\left(1+\frac{1}{x}\right)^x[/inlmath], ili, zapisanom u drugačijem obliku, [inlmath]\lim\limits_{x\to0}(1+x)^\frac{1}{x}[/inlmath].
Vrednost tog limesa je, naravno, [inlmath]e[/inlmath].
Pokušaj svoj limes da svedeš na takav oblik.
I do not fear death. I had been dead for billions and billions of years before I was born, and had not suffered the slightest inconvenience from it. – Mark Twain