Limits: Continuity and Discontinuity

123456789101112131415161718192021
Across
  1. 2. A limit must _____ to be considered continuous.
  2. 5. A limit must ______ the value of the function.
  3. 6. In a _______ function, when you plug in the value of x where the function “breaks”, they must equal each other.
  4. 7. If a function is continuous at limit value, then we can use _________ to evaluate the limit.
  5. 8. Values go back and forth between two values.
  6. 12. What kind of discontinuity does f(x)= tan(x) have?
  7. 14. In ______ discontinuity, the one-sided limits exist (perhaps as ∞ or −∞), and at least one of them is ±∞.
  8. 15. This type of function is discontinuous.
  9. 16. Is the following function continuous: f(x)= √(x) ?
  10. 18. x comes from the left.
  11. 20. The second condition for continuity is not met in _____ discontinuity.
  12. 21. True or False: The limit of a product is equal to the product of the limits.
Down
  1. 1. Type of discontinuity in which limit at point exists but does not equal the value of the function.
  2. 3. A _____ dot means the limit exists.
  3. 4. Type of discontinuity in which one sided limit exists but has different values.
  4. 9. Is the following function continuous: f(x) = tan(x) ?
  5. 10. We can ______ removable discontinuity to make it continuous.
  6. 11. x comes from the right.
  7. 13. There are _____ conditions for continuity.
  8. 17. The value that function approaches as the independent variable of the function approaches a given value.
  9. 19. The point of removable continuity in a function is called a ____.