mth536_problem_7_9b

4 proof of proposition let and let be given now

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Unformatted text preview: p. 3/ Proof of proposition Since was an arbitrary choice, it must be true that £ ¡¦ %  £ § ¡¦ ¡ &  ¢ ¤ ¥ §  ¡ ¢ ¤ ¥ and we conclude that   – p. 4/ Proof of proposition £ Let ¡¦ and let be given. Now £ ¦ ¢ ¤ ¥ £    § #¦ ¢ ¡  ¤ ¥  § &  ! "  ¢ ¤ ¥ §  implies that there exists a It follows that  ©¨ with ¡ . ¡ is a limit point of # and therefore and we conclude that  ¢£ ¡¦  ¤ ¡ $ ! – p. 5/ Proof of proposition £ Let ¡¦ and let be given. Now £ ¦ ¢ ¤ ¥ £ ...
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