1. 1 Copyright © 2014 Pearson Education, Inc. Sec. 2.3 Techniques for Computing Limits

2. Copyright © 2014 Pearson Education, Inc. 2

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4. Ex:Evaluate each limit: = 10= 5(2) = 6 = 2 + 4 = 8= 2 · 4 = 8 Sec. 2.3: Techniques for Computing Limits

5. Ex:Evaluate each limit: = 10= 5(2) = 6 = 2 + 4 = 8= 2 · 4 = 8 Sec. 2.3: Techniques for Computing Limits

7. Ex:Evaluate each limit: = 30= 3(2) 2 + 7(2) + 4 Sec. 2.3: Techniques for Computing Limits

9. Ex:Evaluate each limit: = 2 Sec. 2.3: Techniques for Computing Limits

12. Ex:Evaluate each limit: = 0 Sec. 2.3: Techniques for Computing Limits

14. Ex:Evaluate each limit: Sec. 2.3: Techniques for Computing Limits

15. Ex:Evaluate each limit: Sec. 2.3: Techniques for Computing Limits

16. Ex:Evaluate each limit: Sec. 2.3: Techniques for Computing Limits

17. Copyright © 2014 Pearson Education, Inc. 17

18. Copyright © 2014 Pearson Education, Inc. 18

19. Copyright © 2014 Pearson Education, Inc. 19

20. Memorize these! Sec. 2.3: Techniques for Computing Limits

21. Ex:Evaluate each limit: "The limit of a product …" "… equals the product of the limits." Sec. 2.3: Techniques for Computing Limits

22. Ex:Evaluate each limit: Let y = 5x. x  0 if and only if y  0 Sec. 2.3: Techniques for Computing Limits