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

If $f(x)=\frac{x^2-9}{x-3}$, which procedure is most efficient for finding $\lim_{x\to 3} f(x)$?

Question 2

To find $\lim_{x\to 0}\frac{\sin x}{x}$, which method is most appropriate?

Question 3

Which procedure is most useful for evaluating $\lim_{x\to \infty}\frac{5x^2+1}{2x^2-3x}$?

Question 4

If a function has the graph of a straight line and you want $\lim_{x\to 4} f(x)$, which procedure is usually best?

Question 5

Which statement best describes when factoring is a good first procedure for a limit?