Chapter 12 Test Flashcards Preview

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Flashcards in Chapter 12 Test Deck (15)
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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.

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