Polynom mot uendeleg

Nokre grenseverdiar med løysing

Hans Georg Schaathun

Juni 2016

$$f(x) = x^3 - 1000x^2 - 100x$$

$$\lim_{x\to\infty} f(x) = \infty$$

$$\lim_{x\to-\infty} f(x) = -\infty$$

$$f(x) = -\frac{x^4}{1000} + x^3 - 1000x^2 - 100x$$

$$\lim_{x\to\infty} f(x) = -\infty$$

$$\lim_{x\to{-\infty}} f(x) = -\infty$$

$$ \begin{align} & \lim_{x\to\infty} x^4 - 10x^2 + 7x - 5\\ & \lim_{x\to{-\infty}} x^4 - 10x^2 + 7x - 5 \end{align} $$