Evaluate the left-and right-hand limits of the function defined by $f\left(x\right)=\{\begin{array}{cc}1+x^2& 0\le x<1\\ 2-x& x>1\end{array}$ at $x=1$ Also, show that $\underset{x\to 1}{\lim }f\left(x\right)$ does not exist

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