Let f 0 R be a bounded function Consider the functions g h 0

Last updated: 12/18/2022

Let f 0 R be a bounded function Consider the functions g h 0 00 h x inf f y y r for every x 0 a 10 points Explain why g h are well defined R that are defined by g x sup f y y a and b 20 points Prove that lim f x 818 lim g x and lim h r exists and HIX 818 exists if and only if the limits lim g x lim h r 348 818