- Problem 11 Use The Connectivity Results In Lecture To Prove The Intermediate Value Theorem Let F Be A Continuous Real 1 (81.6 KiB) Viewed 29 times
Problem 11. Use the connectivity results in lecture to prove the intermediate value theorem: Let f be a continuous real-
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Problem 11. Use the connectivity results in lecture to prove the intermediate value theorem: Let f be a continuous real-
Problem 11. Use the connectivity results in lecture to prove the intermediate value theorem: Let f be a continuous real-valued function on the interval [a, b], and assume f(a) f(b). Let c be a number such that f(a) <c< f(b). Show that there exists x € (a, b) such that f(x) = c.