Worksheet: Limits and Continuity

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.

A
BThe limit does not exist
C1
D0

Q3:

Evaluate the limit, if it exists.

Q4:

Evaluate the limit, if it exists.

AThe limit does not exist
B
C0

Q5:

Evaluate the limit, if it exists.

A
BThe limit does not exist
C1
D0

Q6:

Evaluate the limit, if it exists.

Q7:

Evaluate the limit, if it exists.

A
BThe limit does not exist
C
D0

Q8:

Evaluate the limit, if it exists.

Q9:

Evaluate the limit, if it exists.

Q10:

Evaluate the limit, if it exists.

AThe limit does not exist
B
C0
D

Q11:

Evaluate the limit, if it exists.

A
BThe limit does not exist.
C1
D0

Q12:

Evaluate the limit, if it exists.

AThe limit does not exist
B
C1

Q13:

Evaluate the limit, if it exists.

A
B1
CThe limit does not exist
D
E0

Q14:

Evaluate the limit, if it exists.

AThe limit does not exist
B
C0

Q15:

Evaluate the limit, if it exists.

A
BThe limit does not exist
C5
D0

Q16:

Evaluate the limit, if it exists.

Q17:

Evaluate the limit, if it exists.

AThe limit does not exist
B
C
D
E

Q18:

Evaluate the limit, if it exists.

A
B0
CThe limit does not exist