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August 11th, 2019, 10:09 PM   #1
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Real analysis rudin theorem 1.21

In thorem 1.21 of Rudin He has said that as t=X/(X+1) then t^n<t<1 then maximum value of t is 1. then in the next part he has given that t^n<t<x. as maximum value of t is less than 1 why has he given that t<x ? X is a real number and 0<X and
And n Is a integer n>0 .
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August 11th, 2019, 10:32 PM   #2
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August 12th, 2019, 12:24 AM   #3
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August 12th, 2019, 05:23 AM   #4
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X is positive, so (X+1) > 1. Dividing a positive number by something greater than one makes it smaller, so t = X/(X+1) must be less than X.
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