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Complete the following tables and state what you believe $\lim _{x \rightarrow 0} f(x)$ to be.

\begin{matrix} \text{x} & \text{-0.1} & \text{-0.01} & \text{-0.001} & \text{-0.0001} & \text{...}\\ \text{f(x)} & \text{?} & \text{?} & \text{?} & \text{?} & \text{...}\\ \end{matrix}

$f(x)=\frac{x^{2}-x}{x}$

Tables for the functions $f$ and $g$ are given. Evaluate the expression, if possible.

(a) $(g \circ f)(1)$

(b) $(f \circ g)(4)$

x	1	3	4	6
f(x)	2	6	5	7

x	2	3	5	7
g(x)	4	2	6	0

Using only $p-v-T$ data from the ammonia tables, evaluate the changes in specific enthalpy and entropy for a process from $70\ \mathrm{lbf} / \mathrm{in.}^2, 40^{\circ} \mathrm{F}$ to $14\ \mathrm{lbf} / \mathrm{in.}^2, 40^{\circ} \mathrm{F}$ . Compare with the table values.

Question

Using a semicolon to join closely related independent clauses is one way to correct a run -on. In some cases, the second clause may need a conjunctive adverb, such as however, nonetheless, or further more, followed by a comma. Correct the following run-on sentences, adding semicolons and conjunctive adverbs where needed.\
The old woman's arguments on gentility and poverty are indisputable the knight is compelled to yield to her.

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We are asked to correct the run-on sentence, adding semicolons and conjunctive adverbs where needed.

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$\boldsymbol{x}$	$\boldsymbol{f}(\boldsymbol{x})$
$-2$	$1$
$0$	$4$
$2$	$3$
$4$	$2$

$\boldsymbol{x}$	$\boldsymbol{g}(\boldsymbol{x})$
$1$	$2$
$2$	$4$
$3$	$-2$
$4$	$0$

$\boldsymbol{x}$	$\boldsymbol{f}(\boldsymbol{x})$
$-2$	$1$
$0$	$4$
$2$	$3$
$4$	$2$

$\boldsymbol{x}$	$\boldsymbol{g}(\boldsymbol{x})$
$1$	$2$
$2$	$4$
$3$	$-2$
$4$	$0$

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