Use Definition 2.4 .4 or 2.4 .5 to prove that the stated limit is correct.

$$\lim _{x \rightarrow 3} \frac{-1}{(x-3)^2}=-\infty$$

Capitalize important words in the title of a visual.
Do not capitalize prepositions, articles, or conjunctions shorter than five letters in a title, unless they are the first or last word of the title. Capitalize the first word of a subtitle following a colon.
Grades at a Glance
Capitalize each of the following visual titles.
distribution of income across the population: the united states from $1900$ to $2000$

Activation of the diaphragm and the external intercostal muscles begins the inspiratory process. What effect does contraction of these muscles have on thoracic volume, and how is this accomplished?

You deposit $25,000 in an account that earns 7$A_{n}=25,000\left(1+$\frac{0.07}{12}$\right)^{n},      n=1,2,3, \ldots$ Is the balance after 10 years twice the balance after 5 years? Explain.

Every year at the beginning of flu season, many people, including the elderly, get a flu shot to reduce their chances of contracting the flu. One result is that people who do not get a flu shot are less likely to contract the flu.

On the graph that follows, show the effects of this externality by drawing in and labeling any additional curves that are needed and by labeling the efficient quantity and the efficient price of flu shots. Label the area representing deadweight loss in this market.

The rooftop of Angelo's house creates an equilateral triangle with the attic floor. Angelo wants to divide his attic into 2 equal parts. He thinks he should divide it by placing a wall from the center of the roof to the floor at a $90^{\circ}$ angle. If Angelo does this, then each section will share a side and have corresponding $90^{\circ}$ angles. What else must be explained to prove that the two triangular sections are congruent?

Write the correct answer on the line provided.
Louisa Ferraro experienced _______ of her leg muscles due to the disuse of these muscles over a long period of time.

Find t such that $0 \leq t \leq \pi$ and t satisfies the stated condition.

$$\cos t=\cos (-\pi / 6)$$

Assume each of the variables set1 and set2 references a set. Write code that creates another set containing only the elements that are found in both set1 and set2, and assigns the resulting set to the variable set3.

Use a graphing calculator to test whether each equation is an identity. If the equation appears to be an identity, verify it. If the equation does not appear to be an identity, find a value of x for which both sides are defined but are not equal.

(A) (sin x)/(1+cos x) =(1+cos x)/(sin x)

(B) (sin x)/(1-cos x) = (1+ cos x)/(sin x)

What tools does the Fed use to expand and contract the money supply?

Find the LCD for each group of fractions. $\frac{3}{8}, \frac{2}{5}$

Give an example to show that the stated case can occur. The product of two irrational numbers may be a rational number.

A true-or-false quiz contains four questions. Design and describe a simulation you could use to find the probability of guessing three questions correctly.