Which theorem did Weierstrass use to study continuous functions?
Bayes theorem
Fermat’s Last theorem
Bolzano–Weierstrass theorem
Pythagorean theorem
Answer
The Bolzano–Weierstrass theorem, also known as the "extreme value theorem", states that if a function f is continuous on a closed and bounded interval, then it attains a maximum and a minimum value on that interval. This theorem was used by Weierstrass to study the properties of continuous functions, and it has been used in many other areas of mathematics, such as calculus and analysis.
Discovering the Genius: The Karl Weierstrass Quiz
More Questions
What subject did Karl Weierstrass teach besides physics and mathematics?
What subject did Weierstrass study at university, even though he left without a degree?
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In which city did Karl Weierstrass become a professor of mathematics?
What is Weierstrass known for in the field of complex analysis?
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