# 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 .

• A0
• B8
• C4
• D

Q9:

Find .

• A
• B
• C
• D0

Q10:

Find .

• A0
• B7
• C
• D
• E

Q11:

Find .

• A
• B11
• C
• D
• E

Q12:

Find .

• A0
• B
• CThe limit does not exist.
• D

Q13:

If the function , find .

Q14:

If the function , find .

Q15:

Determine .

• A
• B
• C50
• D
• EThe limit does not exist.

Q16:

Determine .

• A
• B
• C3
• D

Q17:

Find .

Q18:

Find .

Q19:

Determine .

• A
• B
• C
• D

Q20:

Given that , what is ?

Q21:

Which of the following functions does not satisfy the conditions for direct substitution of the limit ?

• A
• B
• C
• D
• E

Q22:

Given that , find the value of .

Q23:

Given that , find the value of .

Q24:

Given that , find the value of .

Q25:

True or False: If the function is a polynomial, then .

• ATrue
• BFalse