Concept of limit - Definition
Part I
Recall: if for every number , there exists a corresponding number such that for all , .
Illustration:
1. Check the box for - challenge for
2. Move on the -axis
3. Use the vertical slider to give different - challenge
4. Use the horizontal slider to adjust so that the - challenge is passed.
Observation: For choices or , they fail the - challenge.
Part II
Aim: To check that is the limit of at .
(i) Uncheck the box for - challenge for
(ii) Check the box for - challenge for
(iii) Repeat Steps 3 & 4
Observation: For the choice of , the - challenge is passed! So