Worksheet: Limits by Direct Substitution

In this worksheet, we will practice using the direct substitution method to evaluate limits.

Q1:

Determine .

Q2:

Determine .

• A
• B244
• C
• D

Q3:

Find .

Q4:

Determine .

• A
• B
• C
• D
• E

Q5:

Given , find .

Q6:

Find an exact expression for using the limit laws.

• A
• B
• C
• D
• E

Q7:

Find .

• A
• B
• C
• D

Q8:

Find .

• A8
• B4
• C
• D0

Q9:

Find .

• A 0
• B
• C
• D

Q10:

Find .

• A
• B0
• C7
• D
• E

Q11:

Find .

• A
• B
• C11
• D
• E

Q12:

Given that , find .

Q13:

Find .

• A
• B
• C0
• DThe limit does not exist.

Q14:

Determine the following infinite limit: .

• A9
• B
• C8
• D
• E0

Q15:

Find .

• A
• B4
• C
• D
• EThe limit does not exist.

Q16:

If the function , find .

Q17:

If the function , find .

Q18:

Find to 4 decimal places by considering at . What is the first that you can use?

• A
• B
• C
• D
• E

Q19:

Determine .

• AThe limit does not exist.
• B
• C50
• D
• E

Q20:

Given that , determine .

Q21:

Determine .

• A3
• B
• C
• D

Q22:

Find .

Q23:

Find .

Q24:

Determine .

• A
• B
• C
• D