Limits & Continuity

What is the limit of the function as x approaches -4 from the left?

• 2
• -4
• DNE
• -2

Find the limit of the function as x approaches 2⁺.

• 1
• -1
• 5
• DNE

Tags

CCSS.HSF.IF.A.2

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

Select all statements that are TRUE.

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7B

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

Tags

CCSS.HSF-IF.C.7D

The graph of f(x) is shown.

f(1)=

• DNE

• 4

• -2

• 2

Tags

CCSS.HSF.IF.A.2

Evaluate the limit:

• Does not exist
• 2
• 0
• 1

Classify the function as continuous or classify its discontinuity.  

• Continuous!  The left and right limits match the function value.
• Discontinuous with a removable discontinuity
• Discontinuous with a jump discontinuity
• Discontinuous with an infinite discontinuity

Tags

CCSS.HSF-IF.C.7D

Classify the function as continuous or classify its discontinuity.  

• Continuous!  The left and right limits match the function value.
• Discontinuous with a removable discontinuity
• Discontinuous with a jump discontinuity
• Discontinuous with an infinite discontinuity

Tags

CCSS.HSF-IF.C.7D