What is the value of the limit of the trigonometric function shown below?
5
Find the horizontal asymptate of the function shown below using limits
6
Which of the following is equivalent to the limit shown below?
7
Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of guaranteed by the theoren.
8
Find the value of that will make the function continuous at x = 2.
Description:
Explore multiple choice practice problems on limits and continuity in this 19-minute calculus video tutorial. Learn to evaluate limits by factoring trinomials, using the difference of squares method, and working with rational functions, complex fractions, and radical functions. Master techniques for handling limits involving square roots, absolute value functions, and trigonometric functions. Discover how to find limits at infinity and horizontal asymptotes. Delve into important concepts like the Squeeze Theorem, Intermediate Value Theorem, and continuity of piecewise functions. Practice finding the value of c to make functions continuous and gain a deeper understanding of calculus fundamentals through hands-on problem-solving.