Reading limits from graphs

Multiple choiceNo calculator

• A$0$
• B$1$
• C$3$
• DThe limit does not exist.

Multiple choiceNo calculator

• A$-1$
• B$1$
• C$2$
• DThe limit does not exist.

Multiple choiceNo calculator

• A$\displaystyle\lim_{x \to -1^-} f(x)$
• B$\displaystyle\lim_{x \to -1} f(x)$
• C$\displaystyle\lim_{x \to 1} f(x)$
• D$\displaystyle\lim_{x \to 0} f(x)$

Multiple choiceNo calculator

• A$f(x)$ increases without bound.
• B$f(x)$ decreases without bound.
• C$f(x)$ approaches $1$.
• D$f(x)$ approaches $0$.

Multiple choiceGraphing calculator

• AIt equals $0$, because the band is centered at height $0$.
• BIt equals $1$, because $\sin$ never exceeds $1$.
• CIt does not exist, because $f(x)$ oscillates between $-1$ and $1$ infinitely often near $x = 0$.
• DIt cannot be decided, because $f(0)$ is undefined.

Free response · 5 pointsNo calculator