- A 10 Points Let F 0 1 R Be A Function Such That F Is Increasing I E F X F Y Whenever R Y F X X For 1 (17.19 KiB) Viewed 23 times
- a (10 points) Let f: 0,1] +R be a function such that • f is increasing, i.e. f(x)
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- a (10 points) Let f: 0,1] +R be a function such that • f is increasing, i.e. f(x)
- a (10 points) Let f: 0,1] +R be a function such that • f is increasing, i.e. f(x) <f(y) whenever r < y; • f(x) + x for all re [0,1]; and f(0) > 0. . Denote S := {r € [0,1] : f(x) > x}. Prove that sup Se S and f(1) > 1. (Note that f may not be continuous.)
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