Limity v nevlastním bodě
Urči limity v nevlastním bodě:
\( \large \displaystyle \lim_{x\to \infty}\Large \frac{x^3-2x+4}{2x^4}\large \)
\( \large \displaystyle \lim_{x\to \infty} \Large \frac{x^3-2x+4}{2x^4}\large = \displaystyle \lim_{x\to \infty}\Large \frac{2x}{2x^4}\large = 1 \)
\( \large \displaystyle \lim_{x\to \infty} \Large \frac{x^3-2x+4}{2x^4}\large = \displaystyle \lim_{x\to \infty}\Large \frac{1}{\infty}\large = 0 \)
\( \large \displaystyle \lim_{x\to \infty} \Large \frac{x^3-2x+4}{2x^4}\large = \displaystyle \lim_{x\to \infty}\Large \frac{1}{0}\large = \infty \)
\( \large \displaystyle \lim_{x\to \infty} \Large \frac{x^3-2x+4}{2x^4}\large = \displaystyle \lim_{x\to \infty}\Large \frac{x^3}{2x^4}\large = \frac{1}{2} \)