$9$:$01$

$23$

Math $3$A Problem Set $1...$

Math $3$A

Problem Set $1$

Name

Use algebra to help evaluate the limits$.$ Be sure to show all of the steps, not just the answer.

$\underset{x8}{lim}\frac{x^2-64}{x-8}$

$\underset{x2}{lim}\frac{3x^2-x-10}{x-2}$

$\underset{h0}{lim}\frac{\frac{1}{2h\frac{1}{2}}}{h}$

$\underset{h0}{lim}\frac{-(xh{)}^{2}8(xh)x^2-8x}{h}$

$\underset{x5}{lim}\frac{x^3-125}{x-5}$

$\underset{x25}{lim}\frac{\sqrt[\phantom{2}]{x}-5}{x-25}$

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$8$

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$9$:$01$

$23$

Math $3$A Problem Set $1...$

$6$

$$

$\underset{x5}{lim}\frac{x^3-125}{x-5}$

$\underset{x25}{lim}\frac{\sqrt[\phantom{2}]{x}-5}{x-25}$

Given the function $f(x)=\frac{1}{\sqrt[\phantom{2}]{x}},$ evaluate $\underset{x4}{lim}\frac{f(x)-f(4)}{x-4}.$

D

$12$

$8$

$990$

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