#coefficient of correlation

In mathematics, asymptote of a curve can be defined as a line in such a way that the distance between curve and line reaches to value zero as they tends to infinity.

Horizontal asymptote: Horizontal Asymptotes are the horizontal lines in which graph of function tend to a → + ∞. The horizontal line is given by: s = u; the given equation is a Horizontal Asymptotes of a function s = f (t); If it satisfies the given equation

⇒lim t → - ∞ f (t) = u, we can also write it as:

 ⇒lim t→ + ∞ f (t) = u. Let’s discuss how to solve horizontal asymptote? Take an example and see how to solve horizontal asymptote?

Let f (p) = (2p – 1) (p + 3) / p (p – 2). As we know that the given function is in factor form, first we will convert the given function in the standard form. To find standard form we have to multiply the given values. So, the standard form of the equation is:

⇒f (p) = (2p2 + 5p – 3) / (p2 – 2p); in the given equation we avoid value excluding the largest exponents of‘t’. So we can write it as:

⇒f (p) = 2p2 / p2, on further solving we get 2. So the horizontal asymptote for the horizontal line y = 2. Now see small introduction about vertical asymptote. (want to Learn more about horizontal asymptote, click here),

Vertical asymptote: The equation of vertical line is defined as: x = p. It is vertical asymptotes equation that has a function y = f (p); this function is applicable when one of the given condition is true. The two conditions for vertical asymptote are:

1. lima t → a- f (p) = + ∞;

2. lima t → a+ f (p) = + ∞;