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Just fantastic. The way you really try to convince the viewer of your argument is fantastic. This is the way proofs are meant to be conveyed! Entertaining and informative.
Why you do not write ε(x) not just ε
Can i use maximum instead of suprimum??
No since there does not have to be a maximum, while there can be a supremum.
U can also proove that C[a,b] with the maximum distance is complete
Just fantastic. The way you really try to convince the viewer of your argument is fantastic. This is the way proofs are meant to be conveyed! Entertaining and informative.
Why you do not write ε(x) not just ε
Can i use maximum instead of suprimum??
No since there does not have to be a maximum, while there can be a supremum.
U can also proove that C[a,b] with the maximum distance is complete