### Questions (55)

 31 A finite set always has a maximum and a minimum. 28 If a function $f(x)$ is Riemann integrable on $[a,b]$, is $f(x)$ bounded on $[a,b]$? 4 Proving that $g(x)=x(1-x)f(x)$ is uniformly continuous on $(0,1)$ if $f(x)$ is continuous and bounded on $(0,1)$ 4 The product of a uniformly continuous function and a bounded continuous function is uniformly continuous 4 Help understanding an inequality on Rudin's construction of the Lebesgue measure

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 1 continuity and uniform continuty of $1/x$ 1 continuity and uniform continuty of $1/x$ 1 Definition verification from two different books? 0 If $f(x)$ is differentiable at $x=a$, is $f'(a)$ defined? 0 Clear explanation about uniform continuity.

### Tags (27)

 3 real-analysis × 45 1 definition 2 analysis × 17 0 measure-theory × 11 2 continuity × 15 0 integration × 9 2 uniform-continuity × 5 0 complex-analysis × 9 1 general-topology × 2 0 sequences-and-series × 5