Question: Calculate the following limits. You can use continuity properties, sequences, or L'Hopital's rule:

1. \(\operatorname{Lim}_{x \rightarrow 3^{-}} \frac{x^{2}+2 x-3}{x-3}\)
2. \(\operatorname{Lim}_{x \rightarrow 0} \frac{|x|}{x}\)
3. \(\operatorname{Lim}_{x \rightarrow \infty} \frac{2^{3 x-2}+x}{x^{3}+50 x^{2}}\)
4. \(\operatorname{Lim}_{x \rightarrow 0^{+}} x \operatorname{Ln}(x)\)
5. You should be able to find limits where the discontinuity is removable and also where the discontinuity is non-removable.

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