Question

If $f\left(x\right)=\{\begin{array}{cc}\frac{x^2-1}{x+1},& whenx\ne -1\\ -2,& whenx=-1\end{array}$ , then

• A. ${lim}_{x\to (-1{)}^{-}}f\left(x\right)=-2$
• B. ${lim}_{x\to (-1{)}^{+}}f\left(x\right)=-2$
• C. f(x) is continuous at x = -1
• D. All the above are correct

Answer 1

The correct option is D All the above are correct

${lim}_{x\to 1^{-}}f\left(x\right)=-2$ and f(-1) = -2