function - Turing のブログ

$f(x) =$ $\textstyle \sum \limits _{k=0}^{n}a_{k}x^{k}=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots +a_{1}x+a_{0}=0$

$n = 2k$

$lim f(x) = \infty (x\to-\infty)$

$lim f(x) = \infty (x\to\infty)$

$n = 2k-1$

$a>0$

$lim f(x) = -\infty (x\to-\infty)$

$lim f(x) = \infty (x\to\infty)$

$a<0$

$lim f(x) = \infty (x\to-\infty)$

$lim f(x) = -\infty (x\to\infty)$

$T.theodor 2022.8.26$