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Real analysis question

Extracted text: Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View X.'1•l'2.1:3·1'4L:5'1•6' :7:1:8' 1: 9:1 10. 111: I'12.1'13. 1'14. I'15: I 16' I'17. I 18 1 19. : 20. 1 21. I 22. 1 23. 1 24. 1 25. 1 26' I 27. 1 28 I :29. 1 30. I :31 I 32. I 33' 1 34. I' 35. 1 36' I 37% E Let a be the supremum of a set of real numbers and let ɛ > 0 be any real number. Show that there is at least one x E S such that a - E <>< a="" w="" all="" 07:59="" pm="" 2021-05-06="" 目单="" e="" 90%="" -="" words:="">