5 Steps to a 5 AP Calculus BC 2019

406 STEP 5. Build Your Test-Taking Confidence

4. What are all values ofxsuch that

∑∞

k= 1

(

x

2

)k

converges?

(A) 0 only

(B) − 2 <x<2 only

(C) −

1

2

<x<

1

2

only

(D) all real values

y

x

0

1

2

3

4

123

f

5. The graph of a functionf is shown above.
   Which of the following statements is/are true?
   I. limx→ 1 f(x)exists
   II. f( 1 )exists
   III. limx→ 1 f(x)= f( 1 )

(A) I only

(B) II only

(C) I and II only

(D) I, II, and III

6. What is the area of the region between the
   graph ofy=

1

x^2

and thex-axis forx≥4?

(A) −

1

4

(B) −

1

2

(C)

1

4

(D)

1

2

7. Ifg(x) is continuous for all real values ofx,
   then

∫b/ 3

a/ 3

g(3x)dx=

(A)

1

3

∫b

a

g(x)dx

(B) 3

∫b

a

g(x)dx

(C)

1

3

∫ 3 b

3 a

g(x)dx

(D)

∫b

a

g(x)dx

8.

∑∞

n= 0

3 n+^2

4 n

=

(A)

3

4

(B) 4

(C) 9

(D) 36

9. The limh→ 0
   ln(x+h−3)−ln(x−3)
   h
   is

(A) ln(x−3)

(B)

1

ln(x−3)

(C)

1

x+ 3

(D)

1

x− 3

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