Find $\lim_\limits{x\to -2}{f(x)}$ Let $f:\mathbb{R}\mapsto{\mathbb{R}}$ be an odd function such that: $$\lim_{x\to 2}{(f(x)-3\cdot x+x^2)}=5$$
Find $\lim_\limits{x\to -2}{f(x)}$, if it exists. (so also prove its existence)

Hints:
$$\lim_{x \rightarrow -2} f(x) =\lim_{x \rightarrow 2} f(-x)=- \lim_{x \rightarrow 2} f(x).$$
$$\lim_{x \rightarrow 2} f(x)=\lim_{x \rightarrow 2} 3x-x^2 +5.$$
