Limits and Continuity

This practice video develops skills for evaluating limits and handling continuity. Problems include algebraic, radical, absolute-value, and trigonometric limits; limits at infinity and horizontal asymptotes; the Squeeze and Intermediate Value Theorems; and piecewise functions.

Syllabus

Evaluate the limit shown below
Find the value of the limit shown below
Calculate the value of the limit shown below
What is the value of the limit of the trigonometric function shown below?
Find the horizontal asymptate of the function shown below using limits
Which of the following is equivalent to the limit shown below?
Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of guaranteed by the theoren.
Find the value of that will make the function continuous at x = 2.