Does #f(x) = tan(2x)# have more asymptotes than #g(x)=tan(x)#?

1 Answer
Nov 1, 2015

It's impossible to tell.


You might think that #f(x)# will have more asymptotes because it has a shorter period. However that is not the case.

The graph for both functions extends infinitely on both sides, so the number of asymptotes also approaches infinity. Therefore, the number of asymptotes for both functions is undefined, meaning you can't really compare them.