How do you find the vertical, horizontal and slant asymptotes of: # f(x)=(1/(x-10))+(1/(x-20))#?
Slant asymptotes: none.
Vertical asymptotes: you have to look for the points in which the function is not defined. The way the function is written, it is really easy to see that the first denominator vanished for
Horizontal asymptotes: you have to consider the limit as
Slant asymptotes: since you have horizontal asymptotes, you can't have slant asymptotes.