Math 71 Supplement 9-17-09

Math 71 Supplement 9-17-09 - 22. ln x = 5 23. ln 2 x- 1 ( )...

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Math 71 Supplement 9-17-09 Exam is on October 1, 2009. Find the following limits, and interpret the graphic meaning of these limits: 1. lim x - x 2 - 1 x x - 1 ( ) 2. lim x 0- x 2 - 1 x x - 1 ( ) 3. lim x 0+ x 2 - 1 x x - 1 ( ) 4. lim x 1- x 2 - 1 x x - 1 ( ) 5. lim x 1+ x 2 - 1 x x - 1 ( ) 6. lim x - x 2 - 1 x x - 1 ( ) 7. lim x - x 2 - 1 x +1 ( ) 2 8. lim x - 1- x 2 - 1 x +1 ( ) 2 9. lim x - 1+ x 2 - 1 x +1 ( ) 2 10. lim x x 2 - 1 x +1 ( ) 2 11. lim x - x 2 +1 x x - 1 ( ) 12. lim x 0- x 2 +1 x x - 1 ( ) 13. lim x 0+ x 2 +1 x x - 1 ( ) 14. lim x 1- x 2 +1 x x - 1 ( ) 15. lim x 1+ x 2 +1 x x - 1 ( ) 16. lim x - - x 2 +1 x x - 1 ( ) Solve the following for x > 0 : (No calculators.) 17. 2 x = 5 18. x 2 = 5 19. 1.21 x 3 = 56 20. e 2 x +1 = 5 21. 2 3- x = 5
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Unformatted text preview: 22. ln x = 5 23. ln 2 x- 1 ( ) = 5 24. e ln x = 5 25. 2 ln x = 5 26. 5 ln x = 25 27. 2 2ln x = 32 28. 2 ln x +2 = 67 29. 2 ln x- 2 = 67 30. x 34 43 = 56 Solutions: 1. 1 2. a 3. -4. 2 5. 2 6. 1 7. 1 8. 9. -10. 1 11. 1 12. a 13. -14. -15. 2 16. -1 17. ln5 ln2 18. 5 19. 3ln56 ln1.21 20. ln5 - 1 2 21. 3-ln5 ln2 22. e 5 23. e 5 +1 2 24. 5 25. e ln 5 ln 2 26. e 2 27. e 2.5 28. e ln 67 ln 2- 2 29. e ln 67 ln 2 +2...
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