Is Vertical Asymptote a must have , in rational functins?

[sahar]

I want some one to discuss about , Do all rational functions Have Vertical asymptotes ?

 

[Deleted member 4993]

I want some one to discuss about , Do all rational functions Have Vertical asymptotes ?

No - why do you think it should be so?

\(\displaystyle f(x) \, = \, \frac{1}{x^2 \, + 1}\)

does not have a vertical assymptote.

 

[tkhunny]

How about 1/f(x), using Subhotosh's f(x)? Is that a degenerate case?