Question: Show that the vertical distance between a hyperbola x 2 /a 2 - y 2 /b 2 = 1 and its asymptote y = bx/a

Show that the vertical distance between a hyperbola x2/a2 - y2/b2 = 1 and its asymptote y = bx/a approaches zero as x→∞, where 0 < b < a.

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