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Magazine Problem 75
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 4}\left(\frac{x^{3}-64}{x^{2}-16}\right) $$
Problem 76
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 2^{-}}\left(\frac{|x-2|}{x-2}\right) $$
Problem 77
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 2^{+}}\left(\frac{|x-2|}{x-2}\right) $$
Problem 78
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 2}\left(\frac{|x-2|}{x-2}\right) $$
Problem 79
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 4^{-}}\left(\frac{|x-4|}{4-x}\right) $$
Problem 80
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 4^{+}}\left(\frac{|x-4|}{4-x}\right) $$
Problem 81
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 4}\left(\frac{|x-4|}{4-x}\right) $$
Problem 82
For the following exercises, evaluate the limits algebraically. $$ \lim _{x \rightarrow 2}\left(\frac{-8+6 x-x^{2}}{x-2}\right) $$
Problem 83
For the following exercise, use the given information to evaluate the limits: \(\lim _{x \rightarrow c} f(x)=3, \quad \lim _{x \rightarrow c} g(x)=5\) $$ \lim _{x \rightarrow c}[2 f(x)+\sqrt{g(x)}] $$
Problem 84
For the following exercise, use the given information to evaluate the limits: \(\lim _{x \rightarrow c} f(x)=3, \quad \lim _{x \rightarrow c} g(x)=5\) $$ \lim _{x \rightarrow c}[3 f(x)+\sqrt{g(x)}] $$
