Chapter 2 Practice Test Flashcards
What is the limit of the function in the graph at x = 4?
6
What is the limit of the function in the graph at x = 4?
The limit does not exist.
For what value(s) of x does the function in the graph not have a limit?
6
The velocity of the cyclist in feet per second as a function of time is given in the table below.
t 0 1 2 3 4
f(t)5 10 12 11 9
The approximate acceleration (rate of change of the velocity with respect to time) of the cyclist at time t = 2 seconds is which of the following?
None of the above
Suppose that lim x→3 2x−1=5.
Find the largest value of δ such
that |(2x−1)−5|
0.0005
Suppose that lim x→a f(x)=500,
lim x→a g(x)=6, and lim x→a h(x)=0.06. Then lim x→a f(x)h(x)g(x) is equal to which of the following?
5
f(x)={2x−3, x<1
x+1, x>1
Evaluate lim x→1 −f(x).
-1
f(x)=√3x−6 Evaluate lim x→2+ f(x).
0
Which of the following is a necessary and sufficient condition for a function, f, to be continuous at the point x = 4?
lim x→4 f(x)=f(4)
Determine, if it exists, lim x→3 x^2+1/x+3 .
10/6
Determine, if it exists, lim x→3 x+1/x^2−9 .
The limit does not exist.
Determine, if it exists, lim x→ −2 x+2/x^2−4.
−1/4
Determine, if it exists, lim x→3 x^2−6x+9/x^2−9.
0
Determine, if it exists, lim x→ −2 1+2/x / x−4x.
−1/4
Determine, if it exists, lim x→3 1−6/x+9/x^2 / 1−9/x^2.
0
