Concept of limit - Definition

Author:
YK Lau

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