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uniformly convergent, Analysis how sup(fn(x)-f(x)) and fn(x)-f(x) I don't understand how to transform from sup(fn(x)-f(x)) to fn(x)-f(x) to represent...

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Advance Math

uniformly convergent, Analysis

how sup(fn(x)-f(x))

and fn(x)-f(x)

I don't understand how to transform from sup(fn(x)-f(x)) tofn(x)-f(x) to represent uniformly convergent

Also, please kindly draw the picture to explainsup(fn(x)-f(x))

sup=supremum

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