Problem Set - Evaluating Limits when x goes to a

## Evaluating Limits when $x\to a$
 Evaluate $\underset{x\to 1}{lim}\left(6{x}^{2}-4x+3\right)$. Evaluate $\underset{x\to 7}{lim}\frac{{x}^{2}-49}{x-7}$. Evaluate $\underset{x\to 2}{lim}\frac{{x}^{2}-6x+8}{x-2}$. Evaluate $\underset{x\to -5}{lim}\frac{2{x}^{2}+9x-5}{x+5}$. Evaluate $\underset{x\to 1}{lim}\frac{{x}^{3}-1}{x-1}$. Evaluate $\underset{x\to 3}{lim}\frac{{x}^{2}-4x+3}{{x}^{2}-2x-3}$. Evaluate $\underset{x\to -2}{lim}\frac{{x}^{3}+8}{x+2}$. Evaluate $\underset{x\to 3}{lim}\frac{{x}^{4}-81}{x-3}$. Evaluate $\underset{x\to 5}{lim}\frac{{x}^{5}-3125}{x-5}$. Evaluate $\underset{x\to a}{lim}\frac{{x}^{12}-{a}^{12}}{x-a}$. Evaluate $\underset{x\to a}{lim}\frac{{x}^{5/2}-{a}^{5/2}}{x-a}$. Evaluate $\underset{x\to a}{lim}\frac{{\left(x+2\right)}^{5/3}-{\left(a+2\right)}^{5/3}}{x-a}$. Evaluate $\underset{x\to 4}{lim}\frac{{x}^{3}-64}{{x}^{2}-16}$. Evaluate $\underset{x\to 2}{lim}\frac{{x}^{5}-32}{{x}^{3}-8}$. Evaluate $\underset{x\to 1}{lim}\frac{{x}^{n}-1}{x-1}$. Evaluate $\underset{x\to a}{lim}\frac{\sqrt{x}-\sqrt{a}}{x-a}$. Evaluate $\underset{x\to 2}{lim}\frac{\sqrt{3-x}-1}{2-x}$. Evaluate $\underset{x\to a}{lim}\frac{\sqrt{a+2x}-\sqrt{3x}}{\sqrt{3a+x}-2\sqrt{x}}$. Evaluate $\underset{x\to a}{lim}\frac{{x}^{n}-{a}^{n}}{x-a}$.