Unit 1: Limits and Continuity

What is [math]?

Let [math]. Is [math] continuous at [math]?

What is [math]?

What is [math]?

A continuous function [math] satisfies [math] and [math]. Which of the following must be true?

Based on the graph of [math] shown above, what is [math]?

For what value of [math] is the function [math] continuous at [math]?

Evaluate [math].

Evaluate [math].

Evaluate [math].

Evaluate [math].

Find [math]. Express your answer as a fraction.

Evaluate [math].

If [math], then [math] is

If [math], then [math] is

[math] is

[math] is

[math] is

If [math] is continuous for all real numbers and [math], [math], which of the following must be true?

[math] is

At which value of [math] does [math] have a removable discontinuity?

Let [math]. For what values of [math] and [math] is [math] both continuous and differentiable at [math]?

The function [math] is continuous on [math] with [math] and [math]. Which of the following must be true?

Let [math]. For what value of [math] is [math] continuous at [math]?

The function [math] is continuous on [math] with [math] and [math]. Which of the following is guaranteed by the Intermediate Value Theorem?

If [math] and [math] but [math], which type of discontinuity does [math] have at [math]?