*Horizontal asymptote*
of the function
f(x)
called straight line parallel to
x
axis that is closely appoached by a plane curve. The distance between plane curve and this straight line decreases to zero as the
f(x)
tends to infinity. The horizontal asymptote equation has the form:

y = y_{0},
where
y_{0}
- some constant (finity number)

To find horizontal asymptote of the function
f(x),
one need to find
y_{0}.
To find the value of
y_{0}
one need to
calculate the limits

and

If the value of both (or one) of the limits equal to finity number
y_{0},
then

y = y_{0}
- horizontal asymptote of the function
f(x).

To calculate horizontal asymptote of your function, you can use our free of charge online calculator, based on the Wolfram Aplha system.

Horizontal asymptotes calculator

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