Pentru a exista limita avem ca:
[tex]\lim\limits_{\substack{x\to1\\x\ \textless \ 1}}f(x)=\lim\limits_{\substack{x\to1\\x\ \textgreater \ 1}}f(x) \\ \Leftrightarrow \lim\limits_{\substack{x\to1\\x\ \textless \ 1}}3x^2+mx+2=\lim\limits_{\substack{x\to1\\x\ \textgreater \ 1}}x+2\\
\Leftrightarrow 3+m+2=1+2\\
\Leftrightarrow m+5=3 \Leftrightarrow m=-2[/tex]
