## Podcast Beta

## Questions and Answers

What are the major subdisciplines of modern mathematics?

number theory, algebra, geometry, and analysis

What is the common definition of mathematics?

There is no general consensus among mathematicians about a common definition

What does mathematical activity involve?

the discovery of properties of abstract objects and the use of pure reason to prove them

What are the entities in modern mathematics stipulated to have?

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What does a proof consist of?

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What is an indeterminate form?

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What is L'Hôpital's Rule used for?

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Why are places where a function is undefined considered "interesting"?

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What is the function g(x) defined as?

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What is the value of g(3)?

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