Rational Functions without holes or asymptotes?

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Can you please give me some examples of such functions. I hope 1/2 us not one of this category of functions. Please give non obvious examples. Thanks a lot!

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Examples of rational functions without holes and asymptotes are $$f(x)=\frac {1+x^4}{1+x^2}$$ or $$ g( x)=\frac {x^5}{4+x^2}$$

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Is $\dfrac{x^4}{x^2+1}$ too obvious?