Limit notation

Multiple choiceNo calculator

• A$f(3) = 5$.
• BAs $f(x)$ gets close to $3$, $x$ gets close to $5$.
• CAs $x$ gets close to $3$ from either side, $f(x)$ can be made as close to $5$ as we like.
• DFor inputs near $3$, the values of $f(x)$ are never larger than $5$.

Multiple choiceNo calculator

• A$\displaystyle\lim_{x \to 2^+} g(x) = -\infty$
• B$\displaystyle\lim_{x \to -\infty} g(x) = 2$
• C$\displaystyle\lim_{x \to 2^-} g(x) = \infty$
• D$\displaystyle\lim_{x \to 2^-} g(x) = -\infty$

Multiple choiceNo calculator

• A$\displaystyle\lim_{x \to 1^-} f(x) = 4$
• B$f(1) = 4$
• C$f$ is defined at $x = 1$
• D$\displaystyle\lim_{x \to 4} f(x) = 1$

Multiple choiceNo calculator

• A$\displaystyle\lim_{x \to 2} f(x) = 1$ and $f(2) = 3$
• B$\displaystyle\lim_{x \to 2} f(x) = 3$ and $f(2) = 1$
• C$\displaystyle\lim_{x \to 2} f(x)$ does not exist
• D$\displaystyle\lim_{x \to 2} f(x) = f(2) = 3$

Free response · 3 pointsNo calculator