Question

Answer 1

\(\lim\limits_{x\rightarrow2^+}f\left(x\right)=\lim\limits_{x\rightarrow2^+}\left(x^2-3\right)=1\)

\(\lim\limits_{x\rightarrow2^-}f\left(x\right)=\lim\limits_{x\rightarrow2^-}\left(x-1\right)=1\)

\(\lim\limits_{x\rightarrow2^+}f\left(x\right)=\lim\limits_{x\rightarrow2^-}f\left(x\right)=1\Rightarrow\lim\limits_{x\rightarrow2}f\left(x\right)=1\)