Solutions to Odd-Numbered Exercises
1. Informally, if a function is continuous at , then there is no break in the graph of the function at , and is defined.
3. discontinuous at ; does not exist
5. removable discontinuity at ; is not defined
7. discontinuous at ; , but , which is not equal to the limit.
9. does not exist.
11. . Therefore, does not exist.
13. . Thus does not exist.
15. ,
Therefore, does not exist.
17. is not defined.
19. is not defined.
21. is not defined.
23. Continuous on
25. Continuous on
27. Discontinuous at and
29. Discontinuous at
31. Continuous on
33. Continuous on
35. Continuous on .
37. 1, but not 2 or 3
39. 1 and 2, but not 3
41. is undefined.
43.
45. At , the limit does not exist. At , does not exist.
At , there appears to be a vertical asymptote, and the limit does not exist.
47.
49.
Candela Citations
- Precalculus. Authored by: OpenStax College. Provided by: OpenStax. Located at: http://cnx.org/contents/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175:1/Preface. License: CC BY: Attribution