# Worksheet: Evaluating Limits Using Algebraic Techniques

In this worksheet, we will practice using algebraic techniques like factorization to evaluate limits.

Q1:

Find .

• A0
• B4
• C
• D
• E

Q2:

Determine .

Q3:

Find .

• A0
• B2
• C
• D1
• E

Q4:

Find .

• A
• B8
• CThe limit does not exist.
• D32

Q5:

Find .

• A0
• B2
• C32
• D24
• E8

Q6:

Find .

Q7:

Find .

Q8:

Find .

Q9:

Given that , what is ?

• A
• B
• C
• D

Q10:

Find .

• A
• BThe limit doesnβt exist.
• C2
• D

Q11:

Find .

Q12:

Given that determine .

• A5
• B
• C
• D

Q13:

Find .

Q14:

Find .

Q15:

Find .

• A0
• B48
• C
• D

Q16:

Find .

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

Q17:

Find .

• A
• B
• CThe limit does not exist.
• D
• E347

Q18:

Find .

• A1
• B
• C
• D
• EThe limit doesnβt exist.

Q19:

Find .

• A
• B3
• CThe limit does not exist.
• D

Q20:

Find .

• A1
• B
• CThe limit does not exist.
• D4
• E

Q21:

Find .

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

Q22:

Find .

• A
• B
• C
• D

Q23:

Find .

• A
• B3
• C
• D

Q24:

Find .

• A20
• B
• C19
• D

Q25:

Find .

• A
• B
• C
• D