MATH 3150 — HOMEWORK 6 Problem 1. Let f : A ⊂ (M,d) −→ R be a uniformly continuous function. Show that f extends uniquel
If f(x) is a continuous function on [0, 1] , differentiable in (0, 1) such that f(1) = 0 , then there exists some c epsilon (0, 1) such that
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real analysis - Prove that $f(x) =\sqrt{x}$ is uniformly continuous on $[0, \infty)$ - Mathematics Stack Exchange
Math 142A Homework Assignment 5 Due Wednesday, November 15 1. Show that f : [1,∞) → R given by f(x) = √ x satisfies the ε
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real analysis - Prove that if $f$ is strictly increasing on $I$, then $f$ has a continuous inverse. - Mathematics Stack Exchange
![real analysis - Proving that the inverse of a bijective continuous function is continuous - Mathematics Stack Exchange real analysis - Proving that the inverse of a bijective continuous function is continuous - Mathematics Stack Exchange](https://i.stack.imgur.com/IySXF.jpg)