Chapter 12 Practice Test Flashcards Preview

AP Calculus AB > Chapter 12 Practice Test > Flashcards

Flashcards in Chapter 12 Practice Test Deck (15):
1

Evaluate lim x→0 sin x/cos x −1.

The limit does not exist

2

Evaluate limx→∞ ln(x^100)/x

0

3

Evaluate limx→π ln(π−x+1)/sinx

1

4

Evaluate lim x→1 lnx/x^2−1

1/2

5

For which of the following values of c would we get lim x→0 ln(coscx)/2x^2=−1?

2

6

Evaluate lim x→0 2xln(x^2)

0

7

Evaluate lim x→∞ ^x√x

1

8

Evaluate lim x→0 x^2cscx.

0

9

Evaluate lim x→0 (cscx−1/x)

0

10

Evaluate the following as true or false.

Say that lim x→∞f(x)=∞ and lim x→∞g(x)=0,but that lim x→∞f(x)⋅g(x)=L, where L is positive and finite. Then lim x→∞f(1x)⋅g(1x)=1L.

false

11

Evaluate ∫1 −1 1/x^3 dx.

The integral diverges.

12

Evaluate ∫ ∞ 0 2xdx/x^2+1.

The integral diverges.

13

What is the value of ∫ ∞ 0 e^−x dx?

1

14

Evaluate ∫ ∞ 1 e^√x / 2√x dx

The integral diverges.

15

Evaluate the following as true or false.
∫ 3 0 dx/x−1=ln|x−1|∣∣
∣∣30=ln3−ln1=ln3

false

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