1 Limits Learning Outcomes Discuss the ideas of

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1 Limits – Learning Outcomes Discuss the ideas of limits and convergence. Use limit

1 Limits – Learning Outcomes Discuss the ideas of limits and convergence. Use limit notation. Solve problems about limits. Differentiate simple polynomial functions from first principles.

2 Discuss Limits and Convergence 0. 9 1. 9 0. 99 1. 99 0.

2 Discuss Limits and Convergence 0. 9 1. 9 0. 99 1. 99 0. 999 1 - 1. 001 2. 001 1. 01 2. 01 1. 1 2. 1

3 Discuss Limits and Convergence Graphically, we can see how the limit exists as

3 Discuss Limits and Convergence Graphically, we can see how the limit exists as the function appears to be continuous:

4 Discuss Limits and Convergence -0. 1 -0. 01 0. 99833 0. 99998 -

4 Discuss Limits and Convergence -0. 1 -0. 01 0. 99833 0. 99998 - 0. 99998 0. 99833

5 Discuss Limits and Convergence

5 Discuss Limits and Convergence

6 Discuss Limits and Convergence

6 Discuss Limits and Convergence

7 Discuss Limits and Convergence

7 Discuss Limits and Convergence

8 this is only asked in the context of sequences and series, covered in

8 this is only asked in the context of sequences and series, covered in the algebra section Discuss Limits and Convergence

Solve Problems about Limits From FHSST Grade 12 – GNU FDL 9

Solve Problems about Limits From FHSST Grade 12 – GNU FDL 9

10 17 N. 1. sl. TZ 0. 5 Solve Problems about Limits

10 17 N. 1. sl. TZ 0. 5 Solve Problems about Limits

11 Differentiate from First Principles

11 Differentiate from First Principles

12 Differentiation from First Principles

12 Differentiation from First Principles

13 Differentiation from First Principles

13 Differentiation from First Principles

14 Differentiation from First Principles

14 Differentiation from First Principles

15 Differentiation from First Principles

15 Differentiation from First Principles

16 Differentiation from First Principles 09 M. 2. sl. TZ 1. 10

16 Differentiation from First Principles 09 M. 2. sl. TZ 1. 10