# Lesson Worksheet: Limits at Infinity Mathematics • Higher Education

In this worksheet, we will practice evaluating limits of a function when x tends to infinity.

Q1:

Find .

• A
• B
• C
• D

Q2:

Find .

• A
• B
• C
• D

Q3:

Find .

• A
• B
• C
• D

Q4:

Find .

• A
• B
• C
• D

Q5:

Find .

• A
• B
• C
• D

Q6:

Find .

• A
• B
• C
• D3

Q7:

Find

• A5
• B9
• C
• D
• E

Q8:

Consider the polynomial .

Which of the following is equal to ?

• A
• B
• C
• D

Hence, find .

• A
• B
• C5
• D11
• E

Q9:

Find .

Q10:

Consider the rational function .

Which of the following is equal to ?

• A
• B
• C
• D
• E

Find .

• A
• B
• C
• D
• E

Q11:

Find .

• A
• B
• C
• D

Q12:

Determine .

• A0
• B
• C
• D
• E

Q13:

Determine , if it exists.

• A
• B
• C0
• DThe limit does not exist.
• E25

Q14:

Find .

• A0
• B3
• C
• D

Q15:

Determine .

• A
• B
• C

Q16:

Find .

• A
• B
• C
• D

Q17:

Find the values of and , given that and , where .

• A,
• B,
• C,
• D,
• E,

Q18:

Determine .

• A
• B
• C
• D

Q19:

Determine .

• A
• B
• C0
• D
• E

Q20:

Find .

• A
• B
• C
• D
• E

Q21:

If is a polynomial function of the fifth degree and is a polynomial function of the fourth degree, find .

• A
• BA real number
• CZero
• DIt has no limit.

Q22:

Find .

• A5
• B
• C2
• D

Q23:

Find the values of and , given that .

• A,
• B,
• C,
• D,

Q24:

By rationalizing and using limit laws, determine .

• A3
• B2
• C6
• D
• E

Q25:

Find .