- Home
- / Karl Weierstraß
- / What theorem did Weierstrass use to study the properties of continuous functions?
What theorem did Weierstrass use to study the properties of continuous functions?
Bolzano–Weierstrass theorem
Riemann's theorem
Fermat’s Last theorem
Bayes theorem
Answer
The Bolzano–Weierstrass theorem states that every bounded sequence in the real numbers has a convergent subsequence. Weierstrass used this theorem to study the properties of continuous functions. He showed that if a continuous function is defined on a closed and bounded interval, then it must have a maximum and a minimum value.
Discovering the Genius: The Karl Weierstrass Quiz
More Questions
Apart from Mathematics and Botany, what else did Weierstrass teach?
Despite not having a university degree, in what field did Weierstrass train to become a teacher?
Who is often referred to as the "father of modern analysis"?
What theorem is Weierstrass known for proving alongside the intermediate value theorem?
In which city did Karl Weierstrass become a professor?
Related Quizzes
Subscribe Now!
Learn something
new everyday
Playing quizzes is free! We send 1 quiz every week to your inbox