Limits and Functions Quiz

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which of the following functions is not continuous at x=0?

j(x) = e^x
h(x) = 1/x (correct)
g(x) = |x|
f(x) = x^2

What is the limit of (x^2 - 4x + 3)/(x-3) as x approaches 3?

undefined
-1
1
0 (correct)

Which of the following statements is true about the function f(x) = x^2 + 2x - 3?

f(x) has a maximum value at x = -1 (correct)
f(x) has a minimum value at x = -1
f(x) is always increasing
f(x) is always decreasing

Which of the following is a correct statement about one-sided limits?

If the left-hand limit and the right-hand limit of a function exist and are equal, then the limit of the function exists at that point (B) Signup and view all the answers

Which of the following is a correct statement about the limit of a function?

The limit of a function can be infinite even if the function is continuous (B) Signup and view all the answers

Which of the following is a correct statement about the Squeeze Theorem?

If f(x) <= g(x) <= h(x) for all x in an open interval containing a, except possibly at a itself, and if the limit of f(x) as x approaches a equals the limit of h(x) as x approaches a equals L, then the limit of g(x) as x approaches a also equals L (D) Signup and view all the answers