A Non-Archimedean Ordered Field

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What i know is that we have to compare the elements in R(t), so i am not sure how i can compare a rational function with a natural number

CarlosMartinez-ppzl
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My question is...why t/1>n for all natural number?. I know that the function t/1 > n only for some values of t. I don't know if we consider n (natural number) as a function (constant function, horizontal line) when you compare the function 1/t > n, because in that case it is not important the sign positive or negative of t

CarlosMartinez-ppzl