Question

f(x) = 2 se x< 1
= -1 se x= 1
= -3 se 1 < x

A) lim f(x) x --> 1
B) lim f(x) x ---> 1
C) lim f(x) x --> 1

Limites de funções.

Answer 1

$\displaystyle f(x)= \begin{cases} \ \ 2,\ se\ x\ \textless \ 1 \\ -1,\ se \ x=1\\ \ \ 3,\ se \ x\ \textgreater \ 1 \end{cases}\\\\ \lim_{x \to 1^{+}} f(x)\big/ \lim_{x \to 1^{-}} f(x) \big/ \lim_{x \to 1} f(x)\\\\\\ a)\\\\ \lim_{x \to 1^{-}} f(x)=2\\\\\\ b)\\\\ \lim_{x\to1^{+}}f(x)=3 \\\\ c)\\\\ \lim_{x\to1}f(x)=-1$