Question $8$: Use the $lon,$ definition of limit to show that $\underset{x-2}{lim}(3x1)=-5.$ Show your work. $(5$ pts$)$

Question $9$: Determine whether each statement is T $($true$)$ or F $($false$).$ No explanation required.

a$)f$ is continuous at $x_0$Longrightarrowf$(x_0)=\underset{x{x}_0}{lim}f(x).(2$ pts$)$

b$)f(-1)=6$Longrightarrow$\underset{x-1}{lim}f(x)=6.(2$ pts$)$

c$)\underset{x{2}^{}}{lim}f(x)=1$

$\underset{x{2}^{-}}{lim}f(x)=1$ is continuous at $x=2.(2$ pts$)$

d$)|f|$ is continuous at $x=1$Longrightarrowf is continuous at $x=1.(2$ pts$)$

e$)\underset{x}{lim}(x-x^2)=-=0.(2.$pts$)$

ilearn.laccd.edu$/$courses$/332611/$assignments$/8407440$

Question $9$: Determine whether each statement is T $($true$)$ or F $($false$).$ No explanation required.

$f$ is continuous at $x_0$Longrightarrowf$(x_0)=\underset{x{x}_0}{lim}f(x).(2$ pts$)$

b$)f(-1)=6$Longrightarrow$\underset{x-1}{lim}f(x)=6.(2$ pts$)$

$\underset{x{2}^{}}{lim}f(x)=1$

$\underset{x{2}^{-}}{lim}f(x)=1$

d$)|f|$ is continuous at $x=1$Longrightarrowf is continuous at $x=1.(2$ pts$)$

e$)\underset{x}{lim}(x-x^2)=-=0.(2$ pts$)$

Question $10$: Suppose that a function $f$ is differentiable at $x=2,$ and $\underset{x2}{lim}\frac{x^{3}f(x)-24}{x-2}=28.$ Find

$f(2).$ Show your work. $(5$ pts$)$

b$)f^{\text{'}}(2).$ Show your work. $(5$ pts$)$

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