What is the vertical asymptote of #y=1/(x+3)# ?

1 Answer
Aug 24, 2014

The vertical asymptote of #y=1/(x+3)# will occur when the denominator is equal to 0. In this case, that will occur at -3, so the vertical asymptote occurs at #x=-3#. There is no y-coordinate to be included.

For a more thorough explanation behind vertical asymptotes, see here: http://socratic.org/questions/what-is-a-vertical-asymptote-in-calculus? In summary however, vertical asymptotes occur at #x#-values where the limit of the function, either overall or from the right or the left, approaches #+-oo#.