Chapter 12 Test Flashcards Preview

AP Calculus AB > Chapter 12 Test > Flashcards

Flashcards in Chapter 12 Test Deck (15):
1

Evaluate lim x→0 tanx−x/sinx−x.

-2

2

Evaluate lim x→∞ ln (lnx)/lnx

0

3

Evaluate lim x→0 √x+1/ln(x+1)

1/2

4

Evaluate lim x→0 1−cosx/x^2e^x

None of the above

5

True or false?
This limit meets the criteria for applying L′Hôpital’s rule
lim x→0 x/√3x^2+1

false

6

Evaluate lim x→π/2 (secx−tanx)

0

7

Evaluate lim x→∞ (1+5/x)^x.

e ^5

8

Evaluate lim x→∞ (x−√x^2+x)

−1/2

9

Evaluate lim x→∞ x sin(1/x).

1

10

Evaluate lim x→0 (1/x−1/√x)

11

Evaluate the integral ∫2 0 dx/√2−x

2√2

12

What is the value of ∫0 −1 dx/(x+1)^1/3

3/2

13

Evaluate ∫∞ 1 1/x^4 dx

1/3

14

Evaluate ∫∞ 0 cosx dx.

The improper integral diverges

15

Evaluate ∫π 0 2sec^2xdx

The integral diverges.

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