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Worksheet: Evaluating Limits Algebraically at Infinity
Q3:
Consider the sequence given by .
State the first 5 terms of the sequence. If necessary, round your answers to 3 decimal places.
- A0, 0.455, 0.183, 0.124, 0.095
- B0.205, 0.17, 0.159, 0.153, 0.15
- C0, 0.205, 0.17, 0.159, 0.153
- D0.455, 0.183, 0.124, 0.095, 0.077
- E0.455, 0.318, 0.273, 0.25, 0.236
Find the limit of the sequence, if it exists.
Q4:
Find the values of and , given that and , where .
- A ,
- B ,
- C ,
- D ,
- E ,
Q5:
Find .
Q6:
Find the limit of the sequence whose terms are given by .
- AThe limit is .
- BThere is no limit; the sequence tends to .
- CThe limit is 4.
- DThere is no limit; the sequence tends to .
- EThe limit is 2.
Q7:
Find .
- A
- B
- C
- D
Q8:
Find .
- A
- B
- C
- D3
Q9:
Find .
- A
- B
- C
- D
Q10:
Find .
- A
- B
- C
- D1
- E0
Q11:
Determine .
- A
- B
- C
- D
Q12:
Determine .
- A0
- B
- C
- D
- E
Q13:
Determine .
- A
- B
- C0
- D
- E
Q14:
Evaluate .
- A
- B
- C
Q15:
Determine .
- A
- B
- C
Q16:
If , find the values of a and b.
- A ,
- B ,
- C ,
- D ,
Q17:
Find .
- A0
- B
- C3
- D
Q18:
Find .
- A
- B
- C
- D
Q19:
Find .
- A
- B
- C
- D
- E
Q20:
Consider the polynomial .
Which of the following is equal to ?
- A
- B
- C
- D
Hence, find .
- A
- B5
- C
- D11
- E
Q21:
Consider the rational function .
Which of the following is equal to ?
- A
- B
- C
- D
- E
Find .
- A
- B
- C
- D
- E
Q22:
Find .
- A
- B
- C
- D
Q23:
Determine , if it exists.
- A The limit does not exist.
- B0
- C25
- D
- E
Q24:
If is a polynomial function of a , and is a polynomial function of a , find .
- Areal number
- B
- Chas no limit
- Dzero
Q25:
Find
- A9
- B
- C
- D
- E5