Determining rational function

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Reference no: EM13122625

Let R(t) be the field of rational functions. Answer the following (with proofs):

A. If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?

B. Find a function f>0 in R(t) for which no rational number r satisfies 0 < r < f.

Reference no: EM13122625

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