For the function f(x)f(x) shown below, determine \displaystyle \lim_{x\rightarrow 2}f(x).x→2limf(x).f(x)=\begin{cases }-1+x^2 & \text{ for }\hspace{10px} x<2\phantom{\frac{1}{1}} \\ -1+x & \text{ for }\hspace{10px} x\ge2\phantom{\frac{1}{1}}\end{case s}f(x)={−1+x2−1+xfor x<211for x≥211