Solutions for Continuity
Solutions to Try Its
1. a. removable discontinuity at ; b. jump discontinuity at 2. yes 3. No, the function is not continuous at . There exists a removable discontinuity at . 4.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.Licenses & Attributions
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- Precalculus. Provided by: OpenStax Authored by: OpenStax College. Located at: https://cnx.org/contents/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175:1/Preface. License: CC BY: Attribution.