How do I calculate the asymptotes of the hyperbola $$y=\frac{2x(x+2)}{x-3} $$ I know the horizontal asymptotes, but the problem is what is the diagonal asymptote?
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Hint: when is the right-hand-side expression defined? What happens close to that $x$-value? – Matti P. Oct 06 '20 at 12:20
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Hint : use the long division (by decreasing powers) – Claude Leibovici Oct 06 '20 at 12:22