Lesson Worksheet: Continuity at a Point Mathematics • Higher Education
In this worksheet, we will practice checking the continuity of a function at a given point.
Q3:
Suppose What can be said of the continuity of at ?
- AThe function is continuous on .
- BThe function is discontinuous at because is undefined.
- CThe function is continuous at .
- DThe function is discontinuous at because does not exist.
- EThe function is discontinuous at because .
Q6:
Discuss the continuity of the function at given
- AThe function is discontinuous at because does not exist.
- BThe function is discontinuous at because is undefined.
- CThe function is discontinuous at because .
- DThe function is continuous at .
Q7:
Find the value of that makes continuous at , given that
Q8:
Setting and when makes continuous at . Determine .
- A
- B3
- C
- D2
Q9:
Determine the value of that makes continuous at , given
- A
- B
- C
- D
- E
Q10:
Discuss the continuity of the function at , given
- AThe function is discontinuous at because does not exist.
- BThe function is discontinuous at because .
- CThe function is continuous at .
- DThe function is discontinuous at because is undefined.
Q11:
The function is continuous at . Determine the possible values of .
- A
- B
- C
- D
Q12:
Determine the value of that makes the function continuous at , given
- A
- B
- C2
- D
Q13:
Find the value of that makes the function continuous at , given that
- A
- B
- C
- D
Q14:
Discuss the continuity of the function at , given
- AThe function is discontinuous at because is undefined.
- BThe function is continuous at .
- CThe function is discontinuous on .
- DThe function is discontinuous at because does not exist.
- EThe function is discontinuous at because .
Q15:
Determine the value of that makes the function continuous at , given that
- A30
- B198
- C24
- D9
Q17:
Let Find all values of that make continuous at .
- A
- B
- C
- D
Q18:
Let Find all values of that make continuous at .
- A
- B0
- C
- D
Q19:
Discuss the continuity of the function at , given that
- AThe function is discontinuous at because .
- BThe function is discontinuous at because is undefined.
- CThe function is continuous at .
- DThe function is continuous at all points in .
- EThe function is discontinuous at because does not exist.
Q20:
Discuss the continuity of the function at , given that
- AThe function is discontinuous on .
- BThe function is discontinuous at because does not exist.
- CThe function is continuous at .
- DThe function is discontinuous at because is undefined.
- EThe function is discontinuous at because .
Q22:
Given If possible or necessary, define so that is continuous at .
- AThe function cannot be made continuous at because is undefined.
- B makes continuous at .
- CNo value of will make continuous because does not exist.
- DThe function is already continuous at .
Q23:
Discuss the continuity of the function at given
- AThe function is discontinuous at because is undefined.
- BThe function is discontinuous at because .
- CThe function is discontinuous at because does not exist.
- DThe function is continuous at .
Q24:
Suppose What can be said of the continuity of at ?
- AThe function is continuous at .
- BThe function is discontinuous at because is undefined.
- CThe function is discontinuous at because does not exist.
- DThe function is discontinuous at because .
Q25:
Given If possible or necessary, define so that is continuous at .
- A would make continuous at .
- B would make continuous at .
- CThe function can not be made continuous at because does not exist.
- DThe function is already continuous at .