(Solved) Consider f(x)=l2 x+1, x ≤q 4 , (-2)/(x-3), x>4 Calculate the following limits. If the limit does not exist indicate why not. Lim;_x \rightarrow


Question: Consider \(f(x)=\left\{\begin{array}{l}2 x+1, x \leq 4 \\ \frac{-2}{x-3}, x>4\end{array}\right.\)

Calculate the following limits. If the limit does not exist indicate why not.

  1. \(\operatorname{Lim}_{x \rightarrow 4} f(x)\)
  2. \(\operatorname{Lim}_{x \rightarrow 3^{+}} f(x)\)
  3. \(\operatorname{Lim} f(x)\)
  4. Find the largest possible domain and its discontinuity points. Why is it discontinuous at those points (if any)?

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