## anonymous one year ago lim as x approches 0 ( x^2, x<0) (1+x, x>0) decide if the limit exists.

1. Loser66

Let me help you arrange it find $$lim_{x\rightarrow}f(x)$$ if it exists. $f(x) =\begin{cases}x^2~~~~~~if~~~~x<0\\1+x~~~~~~if~~~~x>0\end{cases}$

2. Loser66

@xapproachesinfinity hey kid, now your turn. :)

3. geerky42

$\large \lim_{x\to0}f(x)\text{ exists if }\\~\\~\\\large \text{both }\lim_{x\to0^-}f(x) \text{ and }\lim_{x\to0^+}f(x) \text{ exist}\\~\\~\\ \large\text{and }\lim_{x\to0^-}f(x)=\lim_{x\to0^+}f(x)$