In each part, find limxa f(x), if it exists, where a is replacedby 0, 5+, 5, 5, 5, , and

Chapter 1, Problem 12

(choose chapter or problem)

In each part, find $\lim _{x \rightarrow{a}} f(x)$, if it exists, where a is replaced by 0, 5+, -5-, -5, 5, $-\infty$, and $+\infty$.

(a) $f(x)=\sqrt{5-x}$

(b) $\mathrm{f}(\mathrm{x})=\left\{\begin{array}{ll} (x-5) /|x-5|, & x \neq 5 \\ 0, & x=5 \end{array}\right.$

Equation Transcription:

${lim}_{x\rightarrow{}a}$ f(x)

$-\infty{}$

$+\infty{}$

f(x) = $\sqrt{5\ -x}$

f(x) = { ${\ }_{0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x\ =\ 5}^{(x\ -5)/|x\ -\ 5|,\ \ \ \ \ \ x\ \ne{}\ 5}$

Text Transcription:

lim_x right arrow a f(x)

- infinity

+ infinity

f(x) = sqrt 5 - x

f(x) = {_0, x = 5 ^(x - 5)/|x - 5|, x neq 5

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