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Worksheet: One-Sided Limits
Q1:
Discuss the existence of given
- AThe limit exists and equals.
- BThe limit does not exist because.
- CThe limit exists and equals.
- DThe limit exists and equals.
- EThe limit exists and equals.
Q2:
Find given
- A
- B15
- C
- D
Q3:
Find given
- A
- B
- C
- D
- E
Q4:
Given , find .
Q5:
Discuss the existence of given
- A exists and equals 5.
- B exists and equals .
- C does not exist because is undefined.
- D exists and equals 2.
Q6:
Find given
- A
- B
- C
- D
- E
Q7:
Find , if it exists.
Q8:
Determine and , given that
- A ,
- B ,
- C does not exist,does not exist
- D , does not exist
Q9:
Determine and , given that
- A ,
- B , does not exist
- C does not exist,does not exist
- D ,
Q10:
Find .
- A9
- B
- C0
- D
Q11:
Find .
- A0
- B
- C
- D
Q12:
Determine the following infinite limit: .
- A0
- B
- C5
- D
Q13:
Determine the following infinite limit: .
- A0
- B
- C
- D
- E
Q14:
Determine .
Q15:
Determine the following infinite limit: .
- A
- B
- C
- D
- E0
Q16:
Discuss the existence of given
- AThe limit exists and equals 6.
- BThe limit exists and equals .
- CThe limit exists and equals 4.
- DThe limit exists and equals 48.
- EThe limit does not exist because is undefined.
Q17:
Find given
- A
- B
- C
- D
- E9