LIMITS PRACTICE QUESTIONS FOR AP CALCULUS BC WORKSHEET

Problem 1 :

The graph of the function f is shown. Which of the following statements about f is true ?

Solution

Problem 2 :

The figure below shows the graph of a function f with domain 0 ≤ x < 6. Which of the following statements are true ?

Solution

Problem 3 :

The graph of the function f is shown below. For which of the following values of c does lim _{x -> c} f(x) = 2 ?

Solution

Problem 4 :

Evaluate each of the following from the above graph :

1)  f(-2) =

2) lim _x->-2 f(x) = 

3) f(1) = 

4)  f(4) = 

5) lim _x->-4 f(x) =

6) lim _x->0 f(x) =

Solution

Problem 5 :

Let f be the function that is defined for all real numbers x. Of the following, which is the best representation of the statement lim _{x -> 4} f(x) = 8.

a) The value of the function f at x = 4 is 8.

b) The value of the function f at x = 8 is 4.

c) As x approaches 4, the values of f(x) approach 8.

d) As x approaches 8, the values of f(x) approach 4.

Solution

Problem 6 :

The function f satisfies lim _x->3 f(x) = 6. Which of the following could be the graph of f ?

Solution

Problem 7 :

In order for the line y = a to be a horizontal asymptote of h(x), which of the following must be true?

A) lim_x→a+ h(x) = ∞          B) lim_x→a− h(x) = −∞

C) lim_x→∞ h(x) = ∞            D) lim _x→−∞ h(x) = a

E) lim _x→−∞ h(x) = ∞

Solution