# At a Glance - Curvilinear Asymptotes

A **curvilinear asymptote** is an asymptote that's a curve. As *x* approaches ∞ (or -∞), the function will approach the curve. For example, we could have a function that gets closer to the parabola *y* = *x*^{2} as *x* approaches ∞ or -∞:

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