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Problem 1. Recall that S is Lipschitz on [a, b] when there is M >0 so that f(y)-f(1) My-x| for all x, y ela, b). Use thi
Posted: Tue Apr 26, 2022 5:31 pm
by answerhappygod
- Problem 1 Recall That S Is Lipschitz On A B When There Is M 0 So That F Y F 1 My X For All X Y Ela B Use Thi 1 (17.57 KiB) Viewed 19 times
Problem 1. Recall that S is Lipschitz on [a, b] when there is M >0 so that f(y)-f(1) My-x| for all x, y ela, b). Use this definition (do not use the fact that continuous function is integrable) to prove that if f is Lipschitz on [a, b], then f is integrable on (a, b). Hint: On each small interval, say (10, 11) there are numbers and 11. where the function is biggest and smallest; also since zi and 1. lie on (10, 11], we have li-21. 5|11-rol.