Worksheet: Finding the Limits of Functions of Two or More Variables

This worksheet invites you to work with the notion of the limit of a function in more than one variable as you approach a point in the domain of the function.

Q1:

Evaluate the limit, if it exists.

Q2:

Evaluate the limit, if it exists.

A1
B0
C
DThe limit does not exist

Q3:

Evaluate the limit, if it exists.

Q4:

Evaluate the limit, if it exists.

A
B0
CThe limit does not exist

Q5:

Evaluate the limit, if it exists.

A1
B0
C
DThe limit does not exist

Q6:

Evaluate the limit, if it exists.

Q7:

Evaluate the limit, if it exists.

A
B0
C
DThe limit does not exist

Q8:

Evaluate the limit, if it exists.

Q9:

Evaluate the limit, if it exists.

Q10:

Evaluate the limit, if it exists.

A0
B
CThe limit does not exist
D

Q11:

Evaluate the limit, if it exists.

A1
B0
C
DThe limit does not exist.

Q12:

Evaluate the limit, if it exists.

A
B1
CThe limit does not exist

Q13:

Evaluate the limit, if it exists.

A
B0
C1
DThe limit does not exist
E

Q14:

Evaluate the limit, if it exists.

A
B0
CThe limit does not exist

Q15:

Evaluate the limit, if it exists.

A5
B0
C
DThe limit does not exist

Q16:

Evaluate the limit, if it exists.

Q17:

Evaluate the limit, if it exists.

A
B
C
D
EThe limit does not exist

Q18:

Evaluate the limit, if it exists.

A0
BThe limit does not exist
C