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Mathematics
University -
Professional Development
Special Trig Limits and Continuity
20 questions
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- 1. Fill in the Blank
- 2. Fill in the Blank
- 3. Multiple Choice
Which is TRUE?
- 4. Multiple Choice
Which is/are the conditions for a function to be continuous at x = a?
all of the choices
- 5. Multiple Choice
Which is TRUE about the given graph?
The function has infinite discontinuity at x = -2.
The function has a jump discontinuity at x = -2.
The function has a removable discontinuity at x = 3.
The function has a removable discontinuity at x = -2.
- 6. Multiple Choice
Which is TRUE about the given graph?
It has an infinite discontinuity at x = 4.
It has a jump discontinuity at x = -4.
It has an infinite discontinuity at x = -4.
It has a removable discontinuity at x = -4.
- 7. Multiple Choice
If at x = 1, the left hand limit of f(x) is 2, and its right hand limit is 0, then f(x) has _____.
an infinite discontinuity at x = 1
a jump discontinuity at x = 1
a removable discontinuity at x = 1
- 8. Multiple Choice
Which type of discontinuity has a limit that exists at x = a?
infinite
jump
removable
- 9. Multiple Choice
an infinite discontinuity at x = -6.
a removable discontinuity at x = -6
a jump discontinuity at x = -6
- 10. Multiple Choice
What is f(-4)?
-4
-1
undefined
indeterminate
- 11. Fill in the Blank
- 12. Fill in the Blank
- 13. Multiple Choice
Which is FALSE?
f(x) is continuous at x = -4
f(x) is discontinuous at x = -4
- 14. Fill in the Blank
What is f(0)?
- 15. Fill in the Blank
- 16. Multiple Choice
Check all true statements.
f(0) is defined
f(x) is continuous at x = 0
- 17. Multiple Choice
f(x) has an infinite discontinuity at x = -4
f(x) has an infinite discontinuity at x = -5
f(x) is discontinuous at x = -4
f(x) is continuous at x = -5
- 18. Multiple Choice
Refer to the graph of f(x):
f(x) has removable discontinuities at _____.
x = -1
x = 2
x = 3
x = 7
- 19. Multiple Choice
Refer to the given graph:
f(x) has infinite discontinuities at _____.
x = -1
x = 2
x = 5
x = 7
- 20. Fill in the Blank
f(x) has a jump discontinuity at x = ___
(just type the number)
- Answer choicesTagsAnswer choicesTags