Question

What is asymptote explain it briefly

Answer 1

An asymptote is a line or curve that approaches a given function infinitesimally closely, meaning that as the function approaches infinity, the distance between the line or curve and the function approaches zero. An asymptote may also be described as the tangent line to a function at infinity, and it can be useful in determining where a function f(x) is undefined or approaches infinity. Asymptotes may occur horizontally (as x tends to infinity), vertically (as f(x) tends to infinity), or obliquely (not parallel to the horizontal or vertical axes). Oblique asymptotes are given by the equation , where m is defined as and b is defined as .

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