Question

A bounded function f:[a,b]->R is integrable on [a,b] if there exists L in R such that for any e>0, there exists Pe such that |S(P,f)-L| 13 years ago

Answer 1

Retype Question :
A bounded function f:[a,b]->R is integrable on [a,b]
if there exists L in R such that for any \[\epsilon >0\], there exists \[P _{\epsilon}\]such that\[ |S(P,f)-L|<\epsilon \]for any partitions\[ P \supset P _{\epsilon}\]
Prove it!