Horizontal Asymptote

==2024-11-22

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Theory

A function $f(x)$ has a horizontal asymptote at $y=b$ if, ${\lim }_{x\to \pm \infty }f(x)=b$.

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Examples

y=1/x

$f(x)=\frac{1}{x}$ Here, When $x\to +\infty$, $y\to 0$ When $x\to -\infty$, $y\to 0$

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PTR