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How to Find Horizontal Asymptotes

Updated on November 18, 2014

How to find the horizontal asymptote:

An asymptote is a line which is defined as the distance between the curve and a line approaches zero which tend to infinity. In some cases curves may not tend to infinity and in shortly asymptote is defined as a tangent to curve at infinity. As the word is derived from the Greek language which means they are not together by this we can understand that the curves does not intersect each other. Coming to the kinds of asymptotes they are three kinds of asymptotes such as horizontal asymptotes, vertical asymptotes and oblique asymptotes and for the curves given by the graph of a function x = g(x), where horizontal asymptotes in the graph are horizontal lines of function as x tends to +infinite to – infinite where vertical asymptotes are with function without bound for the vertical lines if distance between the two curves tends zero to infinity and a curve is an curvilinear asymptote for another curve or line.

Behavior of the curves can be defined by asymptotes and while sketching a graph asymptote of a function is an important step. Asymptotic analysis which determines asymptotes of function, which can constructed in a broad sense. Whereas sacred ground are vertical asymptotes when you will find the vertical asymptote you can find the horizontal asymptotes which will touch together so that we can find horizontal asymptote and where vertical asymptote which is close to the origin. In order to to learn how to find horizontal asymptotes, more generally we can calculate for rational fraction let P and Q are polynomials in multiple variables then their quotient is called a rational function. Then this term rational polynomial is sometimes called as a rational polynomial function and it has vast use in the field of conic section. A huge application of asymptote is in the field of architectural development where complex buildings with different geometrical origins are constructed and equipped with all sorts of mathematical arrangements to support the reliability of the structure.

If a single-values function has no singularities other than poles in the extended complex plane then it is called as a rational function. In a rational function degree of the numerator and the degree of the denominator are equal then how to find horizontal asymptote means here by calculating the ratio of the leading coefficients was the horizontal asymptote and for the degree of the rational function numerator exceeds the degree of the denominator then how to find horizontal asymptote for this case means we can have zero horizontal asymptote for this case and in the rational if the degree of the rational function denominator exceeds the degree of the numerator then how to find horizontal asymptote by equating rational function is equal to 0. This is because of the degree of the rational function numerator exceeds the degree of the denominator so we does not have the horizontal function. we will discuss about the how do you find the area of a circle in further article.


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