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a)
\lim_{x\rightarrow1}\left(3x-5\right)
3\left(1\right)-5=-2
b)
\lim_{x\rightarrow4}\ \frac{x+5}{3x}
\frac{9}{12}=\frac{3}{4}
c)
\lim_{x\rightarrow-2}\ \frac{x^2+2x}{x+2}
\frac{\left(x+2\right)x}{\left(x+2\right)1}=\frac{x}{1}=-2