Limits & Continuity TEST (AP Calculus)

Find the limit as x approaches 0 of

f(x)=5x +2

• 0

• DNE

• 7

• 2

If f(x) is continuous at an interval [a,b], and f(a) is positive and f(b) is negative, then there exists a c in [a,b] for which f(c)=0.

• True

• False

Find the limit as x approaches 1 of f(x)

• DNE

• 0

• -1

• 1

What is the limit of the piecewise function as x approaches 1 from the right?

• 4

• -4

• -2

• DNE

Determine the points of discontinuity of f(x)

• x=0 only

• x=4 only

• x=0 and x=4

• f(x) has no points of discontinuity

Tags

CCSS.HSF-IF.C.7D

Evaluate the limit

• Does not exist

• -7/5

• -5/9

• -1/2

Find the limit as x approaches 1⁺

• 1

• -1

• -3

• Infinity

• DNE

Select all statements that are TRUE.

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which of the following statements are false?

• f(a) exists

• the limit as x approaches a exists

• f is continuous at a

• None, all statements are true

Find the value of α that makes f(x) continuous at x=2.

• 0

• 1

• 2

• No such value exists

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1