Question: Please do not copy from c h e g g, thank you. Let K be a non-empty compact set in R. (a) Show that. sup

Please do not copy from c h e g g, thank you.

Let K be a non-empty compact set in R. (a) Show that. sup K and inf K exists. (b) Prove that sup K is an element of K. (An analogous argument will Show that inf K is also an element of K .)

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