The following function $f(x) = \begin{cases} x^2 + 3 & \text{si } x \le -1\\ \sqrt{x+1} & \text{si } x > -1 \end{cases}$ has at x=-1 An essential discontinuity An avoidable discontinuity An unavoidable discontinuity It is continuous
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Determine whether or not the function is continuous at the indicated point. If not, determine whether the discontinuity is a removable discontinuity or an essential discontinuity. If the taller, state whether it is a jump discontinuity, an infinite discontinuity, or neither. $$f(x)=\left\{\begin{array}{rl} -x^{2}, & x<0 \\ 0, & x=0 \\ 1 / x^{2}, & x>0 \end{array} \quad x=0\right.$$.
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