Question

Am de aflat asimptotele orizontale ale functiilor f:D-->R. in cazurile
a) f(X)=1/X si B f(x)=1/x-3. Ma poate ajuta cineva va rog? O rezolvare completa sau daca nu sumar pe pasi.

Answer 1

$f(x)= \frac{1}{x}$

1)Asimptote orizontale

$\lim_{x \to \infty \frac{1}{x}= \frac{1}{\infty } =0$

y=0,asimptota orziontala spre + infinit

$\lim_{x \to -\infty \frac{1}{x}= \frac{1}{-\infty } =0$

y=0,asimptota orizontala spre -infinit

b)$f(x)= \frac{1}{x-3}$

1)Asimptote orizontale


$\lim_{x \to \infty \frac{1}{x-3}= \frac{1}{\infty } =0$

y=0,asimptota orizontale catre infinit


$\lim_{x \to -\infty \frac{1}{x-3}= \frac{1}{-\infty } =0$


y=0,asimptota orzinontala catre -infinit