Question

Determina asimptotele(orizontale,oblice) pt functia urmatoare:
1)f(x)=1/x+3

Answer 1

$\lim_{x \to \infty} \frac{1}{x} + 3 = \lim_{x \to \infty} \frac{1}{x} + \lim_{x \to \infty} 3 = \frac{1}{infinit} + 3 = 0+3 = 3$
=> y = 3 - asimptota orizontala spre +infinit si spre - infinit va fi tot atat