Let \( f: R^{+} \rightarrow \mathrm{A} \) (where \( A \) is co-doma...

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Let \( f: R^{+} \rightarrow \mathrm{A} \) (where \( A \) is co-domain of a non empty set) be a function defined as \( f(x)=\lim _{a \rightarrow \infty} \frac{x^{2 a}-3 x^{a}+2}{x^{2 a}+x^{a}+1} \). Find the number of elements in \( A \) for which \( f \) is
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