Eye Injury. While an eye injury can cause retinal detachment, it is highly unlikely â and if it does happen, you will be seeking immediate medical treatment anyway. This one isnât one we would sit and read this article, and worry about. Cataract Surgery.
Definition of Vertical Asymptotes. Vertical asymptotes are straight lines of the equation, toward which a function f (x) approaches infinitesimally closely, but never reaches the line, as f (x) increases without bound. For these values of x, the function is either unbounded or is undefined.
x 2 4.Solution. The vertical asymptotes will occur at those values of x for which the denominatoris equal to zero:x 2 4 = 0x 2 = 4x = 2Thus, the graph will have vertical asymptotes at x = 2 and x = 2.To nd the horizontal asymptote, we note that the degree of the numerator is one and thedegree of the denominator is two.ince the larger degree occurs in the denominator, thegraph will have a horizontal asymptote at y = 0 (i.e., the x-axis).The graph of f(x) =3x+ 1x 2 4is given below:Notice the graph shows the following limits:1. lim x! 2 f(x) = 12. lim x! 2 + f(x) = 13.