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I need some help on getting ideas for my limits & continuity calculus project!

For the limits project:

I have to conduct an "interview with a limit" (Q&A format).I have to include factual information like definitions, properties, theorems, etc. I also have to include sketches. A non-math person has to understand it too.

For the continuity project I have to make a map, and create a place where a person can see continuity and discontinuity in all its forms. I also have to write a story or explanation to go along with it and use factual info.

Problem is, I can't think of anything for the limit project. Can someone help me out and suggest some idea for the limit interview? For the continuity thing I was going to make something like a road map showing the different forms of discontinuity. Any suggestions would be deeply appreciated. Thank you.

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