Chapter 12 Practice Test Flashcards Preview

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

Evaluate lim x→0 sin x/cos x −1.

A

The limit does not exist

2
Q

Evaluate limx→∞ ln(x^100)/x

A

0

3
Q

Evaluate limx→π ln(π−x+1)/sinx

A

1

4
Q

Evaluate lim x→1 lnx/x^2−1

A

1/2

5
Q

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

A

2

6
Q

Evaluate lim x→0 2xln(x^2)

A

0

7
Q

Evaluate lim x→∞ ^x√x

A

1

8
Q

Evaluate lim x→0 x^2cscx.

A

0

9
Q

Evaluate lim x→0 (cscx−1/x)

A

0

10
Q

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.

A

false

11
Q

Evaluate ∫1 −1 1/x^3 dx.

A

The integral diverges.

12
Q

Evaluate ∫ ∞ 0 2xdx/x^2+1.

A

The integral diverges.

13
Q

What is the value of ∫ ∞ 0 e^−x dx?

A

1

14
Q

Evaluate ∫ ∞ 1 e^√x / 2√x dx

A

The integral diverges.

15
Q

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

A

false

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