Understanding the Concept of a Limit (Assignement)

Find the value of each expression below. f(x) = ✔ -3-12DNE f(x) = X -3-1✔ 2DNE f(x) = X -3X -12✔ DNE f(3) = X -3✔ -12X DNE

-3 2 DNE -1

Evaluate the limits, if they exist. If not, write DNE. f(x) = f(x) = ⇒ 2 f(x) =

1 2 DNE

Use the graph to determine the g(x)? 3.5 3 2 DNE

3 (B)

Evaluate each limit, if it exists. f(x) = f(x) = lim x-1=

Negative infinity Postive infinity DNE

A limit is the y-value a function approaches as you get closer and closer to a given x-value. Under which conditions would the limit as x approaches 7 not exist? Check all that apply. The graph decreases without bound as x approaches 7 from the right. The graph has a vertical asymptote at x = 7. There is a hole in the graph at x = 7. f(7) does not exist f(x) f(x)

(A) (B) (E)

The function, f(x) = sec(x), is plotted below. For which values of x is the limit positive infinity when x approaches the values from the left? 0

(A) (D)

Use the table to determine a reasonable estimate for ? 1/2 1/4 3 DNE

(A) 1/2

Find f(x), if it exists. 2 0.3 0 DNE

(D) DNE

Choose the graph below that meets all three of the following requirements: f(x) = 3 f(x)= -1 f(x) = 2

(D) fourth graph

What is reasonable estimate for the limit? f(x)

-2