Before we discuss about how to find horizontal asymptotes we should first have some basic knowledge about the definition or the conditions of the horizontal asymptotes. The horizontal Asymptote for any kind of the function is actually a value which exists on the vertical axis that is y axis and which the function tries to approach but is never really able to get that value.
Now, see how to find Horizontal Asymptote. Generally, there are just two simple steps which we perform to get horizontal asymptotes of any kind of simple function. The first step which we need to apply to get the horizontal asymptotes is that we have to modify equation or function in such a way that it comes back to its standard form.
Second step which we need to apply to get the horizontal asymptotes is that we have to remove every term from the numerator and also from the denominator except those terms of the x which include its biggest exponent.
Now let us take a very simple example in which we will find the horizontal asymptote of the function g ( x ) = [ 5x3 – 5 ] / [ 6x3 – 15 ]. So after applying the above 2 steps we will get the horizontal asymptote as y = 5/6.