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Mathematics Subdisciplines Quiz

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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?

certain properties, called axioms Signup and view all the answers

What does a proof consist of?

a succession of applications of deductive rules to already established results Signup and view all the answers

What is an indeterminate form?

An indeterminate form is an expression that is undefined because it leads to a contradiction or to numbers that are not in the set of numbers we started out with. Signup and view all the answers

What is L'Hôpital's Rule used for?

L'Hôpital's Rule is used to evaluate limits of indeterminate forms. Signup and view all the answers

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

Places where a function is undefined are considered "interesting" because they are the places to look for limits. Signup and view all the answers

What is the function g(x) defined as?

The function g(x) is defined as $g(x)=\frac{x^{2}-9}{x-3}$. Signup and view all the answers

What is the value of g(3)?

The value of g(3) is $\frac{0}{0}$. Signup and view all the answers