Chapter 2 Test Flashcards
What is the limit of the function in the graph at x = 4?
2
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?
4 and 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) 10 20 24 22 18
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?
1 ft / s^2
Suppose that lim x→−1 3−4x=7.
Find the largest value of δ such that |(3−4x)−7|
0.0005
Suppose that lim x→a f(x)=32,
lim x→a g(x)=68, and lim x→a h(x)=10. Then lim x→a f(x)+g(x)/h(x) is equal to which of the following?
10
f(x)={3x, x<2
−x+4, x>2
Evaluate lim x→2− f(x).
6
f(x)=√x^2−4
Evaluate lim x→2− f(x).
The limit doesn’t exist
Consider the function,
f(t)= t^2+1 if −1≤t<1
−t+1 if 1≤t<2
−1 if t>2
The set of points in the domain of f at which f is continuous is which of the following?[−1, 1), (1, 2), (2, ∞)
Determine, if it exists, lim x→3 sin (x−3)/√x+6 .
0
Determine, if it exists, lim x→ −2 x−2/x^2−4.
The limit does not exist.
Determine, if it exists, lim x→2 x^2−5x+6 / x^2−4.
-1/4
Determine, if it exists, lim x→3 x^2−5x+6 / x^2−6x+9.
The limit does not exist.
Determine, if it exists, lim x→2 x−5+6/x / x−4/x.
-1/4
Determine, if it exists, lim x→3
1/x−5/x^2+6/x^3 / x−6/x^2 + 9x^3.
The limit does not exist.
