# Worksheet: One-Sided Limits

In this worksheet, we will practice evaluating one-sided limits graphically and algebraically.

Q1:

Determine .

Q2:

Find , if it exists.

Q3:

Find .

• A
• B9
• C0
• D

Q4:

Determine and , given that

• Adoes not exist,does not exist
• B,does not exist
• C,
• D,

Q5:

Find given

• A2
• B
• C
• D

Q6:

Find given

• A
• B
• C15
• D

Q7:

Discuss the existence of given

• A does not exist because is undefined.
• B exists and equals 5.
• C exists and equals 2.
• D exists and equals .

Q8:

Given , find .

Q9:

Determine the following infinite limit: .

• A
• B
• C0
• D5

Q10:

Determine the following infinite limit: .

• A0
• B
• C
• D
• E

Q11:

Determine and , given that

• Adoes not exist,does not exist
• B,
• C,does not exist
• D,

Q12:

Determine , if it exists.

• AThe limit does not exist.
• B0
• C
• D2

Q13:

Use the graph below to find .

• AThe limit does not exist.
• B3
• C4
• D8

Q14:

Use the graph below to find .

Q15:

Determine , if it exists.

Q16:

Determine , if it exists.

Q17:

Determine .

Q18:

Determine .

Q19:

Determine .

Q20:

Use the graph below to find .

Q21:

Using the graph shown, find .

Q22:

Determine .

Q23:

Find and , where

• A
• B
• C
• D

Q24:

Determine.

Q25:

Determine .