1. Limits and Continuity

Estimating Limit Values From Graphs — Quiz

Test your understanding of estimating limit values from graphs with 5 practice questions.

Practice Questions

Question 1

A graph shows a function approaching the same $y$-value from both the left and the right as $x$ approaches $2$. What is the best estimate for the limit from the graph?

Question 2

A graph has an open circle at $(1,4)$ and a filled dot at $(1,6)$. The curve approaches the open circle from both sides. What is $\lim_{x\to 1} f(x)$?

Question 3

If the left-hand side of a graph approaches $2$ as $x\to 5^{-}$ and the right-hand side also approaches $2$ as $x\to 5^{+}$, what can be concluded about $\lim_{x\to 5} f(x)$?

Question 4

A graph has a vertical asymptote at $x=3$, and the function grows without bound on both sides near that line. Which statement best describes the limit behavior?

Question 5

A graph approaches the same value $y=5$ as $x$ gets close to $-2$ from both sides, but the point at $x=-2$ is missing. What is the most accurate estimate?