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MAT 1236 Calculus III

MAT 1236 Calculus III. Section 11.1 Sequences Part II. http://myhome.spu.edu/lauw. HW and …. WebAssign 11.1 Part II Lab 02 tomorrow (Meet at 139). Definition. A sequence is a collection of numbers with an order. Notation:. Definition. A sequence is convergent if.

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MAT 1236 Calculus III

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  1. MAT 1236Calculus III Section 11.1 Sequences Part II http://myhome.spu.edu/lauw

  2. HW and … • WebAssign 11.1 Part II • Lab 02 tomorrow (Meet at 139)

  3. Definition • A sequence is a collection of numbers with an order • Notation:

  4. Definition A sequence is convergent if Otherwise, is divergent

  5. Limit Laws If , are 2 convergent sequences and c is a constant, then

  6. Finding limits • There are 5 tools that you can use to find limit of sequences

  7. Tool #1 (Theorem) and If , then

  8. Tool #1 (Theorem) and If , then .

  9. Tool #2 • Use the Limit Laws

  10. Tool #3 (Squeeze Theorem) If and Then

  11. Tool #3 (Squeeze Theorem) If and Then .

  12. Example 4

  13. Example 4

  14. Remark It is important to state the name of the theorem

  15. Tool #4 (Theorem)

  16. Tool #4 (Theorem) .

  17. Tool #4 (Theorem) .

  18. Example 5

  19. Correct Answer?Correct Argument?

  20. Remark .

  21. Remark .

  22. Tool #5

  23. Example 6

  24. Expectations Must give the precise criterion -

  25. Hint on HW #10 • Use the “cruise ship” theorem • Use l'Hospital's rule • Be very careful on your arguments and presentation • Solution will be posted tomorrow

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