10 Questions
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
What does a proof consist of?
a succession of applications of deductive rules to already established results
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.
What is L'Hôpital's Rule used for?
L'Hôpital's Rule is used to evaluate limits of indeterminate forms.
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.
What is the function g(x) defined as?
The function g(x) is defined as $g(x)=\frac{x^{2}-9}{x-3}$.
What is the value of g(3)?
The value of g(3) is $\frac{0}{0}$.
Test your knowledge of the diverse subdisciplines in mathematics, including number theory, algebra, geometry, and analysis. Challenge yourself with questions about numbers, formulas, shapes, and quantities.
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