Chapter 12 Test Flashcards
1
Q
Evaluate lim x→0 tanx−x/sinx−x.
A
-2
2
Q
Evaluate lim x→∞ ln (lnx)/lnx
A
0
3
Q
Evaluate lim x→0 √x+1/ln(x+1)
A
1/2
4
Q
Evaluate lim x→0 1−cosx/x^2e^x
A
None of the above
5
Q
True or false?
This limit meets the criteria for applying L′Hôpital’s rule
lim x→0 x/√3x^2+1
A
false
6
Q
Evaluate lim x→π/2 (secx−tanx)
A
0
7
Q
Evaluate lim x→∞ (1+5/x)^x.
A
e ^5
8
Q
Evaluate lim x→∞ (x−√x^2+x)
A
−1/2
9
Q
Evaluate lim x→∞ x sin(1/x).
A
1
10
Q
Evaluate lim x→0 (1/x−1/√x)
A
∞
11
Q
Evaluate the integral ∫2 0 dx/√2−x
A
2√2
12
Q
What is the value of ∫0 −1 dx/(x+1)^1/3
A
3/2
13
Q
Evaluate ∫∞ 1 1/x^4 dx
A
1/3
14
Q
Evaluate ∫∞ 0 cosx dx.
A
The improper integral diverges
15
Q
Evaluate ∫π 0 2sec^2xdx
A
The integral diverges.
