AP Calculus AB

Question 1

What is lim(x→3) (x² − 9)/(x − 3)?

Accepted Answer

6

Answer

0

Answer

3

Answer

Undefined

Question 2

Which condition is NOT required for a function f(x) to be continuous at x = a?

Accepted Answer

f′(a) exists

Answer

f(a) is defined

Answer

lim(x→a) f(x) exists

Answer

lim(x→a) f(x) = f(a)

Question 3

What is lim(x→0) sin(x)/x?

Accepted Answer

1

Answer

0

Answer

∞

Answer

Does not exist

Question 4

If lim(x→2⁺) f(x) = 5 and lim(x→2⁻) f(x) = 3, what is lim(x→2) f(x)?

Accepted Answer

The limit does not exist

Answer

5

Answer

3

Answer

4

Question 5

What is lim(x→∞) (3x² + 2x)/(x² − 5)?

Accepted Answer

3

Answer

0

Answer

2

Answer

∞

Question 6

Which function has a removable discontinuity at x = 2?

Accepted Answer

f(x) = (x² − 4)/(x − 2)

Answer

f(x) = 1/(x − 2)

Answer

f(x) = |x − 2|

Answer

f(x) = √(x − 2)

Question 7

What is lim(x→0) (1 − cos x)/x²?

Accepted Answer

1/2

Answer

0

Answer

1

Answer

2