Question: Using Rudin's Chapter 1-3, prove by using the theorems and definitions Consider the sequence a_(n+1)=(1)/(2)(a_(n)+(13)/(a_(n))), with n=1,2,3,dots are a_(n)'s rational? What is the limit of

Using Rudin's Chapter 1-3, prove by using the theorems and definitions Consider the sequence a_(n+1)=(1)/(2)(a_(n)+(13)/(a_(n))), with n=1,2,3,dots are a_(n)'s rational? What is the limit of the sequence?

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