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Can $$\large{\frac{-1}{x^{2}}}$$ be considered an asymptote of $$\large {{y}={x}^{2}-\frac{1}{x^{2}}}$$ ?

Note by Yasir Soltani
1 year, 2 months ago

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"... one curve is a curvilinear asymptote of another (as opposed to a linear asymptote) if the distance between the two curves tends to zero as they tend to infinity...more" My view is therefore yes. The curves are asymptotic as $$x \to 0$$ or $$\frac{1}{x} \to \infty$$. · 1 year, 2 months ago