1. Limits and Continuity

Selecting Procedures For Determining Limits — Quiz

Test your understanding of selecting procedures for determining limits with 5 practice questions.

Practice Questions

Question 1

What is the best first step for finding the limit of a polynomial function at a point such as $\lim_{x\to 2}(x^2+3x-1)$?

Question 2

If $\lim_{x\to 5} f(x)=7$ and $\lim_{x\to 5} g(x)=3$, what is $\lim_{x\to 5}[f(x)+g(x)]$?

Question 3

Which method is most appropriate for evaluating $\lim_{x\to 3}\frac{x^2-9}{x-3}$?

Question 4

What is the limit $\lim_{x\to 0}\frac{\sin x}{x}$?

Question 5

A function has a removable discontinuity at $x=4$ because the simplified expression gives a finite value there. Which procedure is most likely useful for finding the limit at $x=4$?