- #1
SubZer0
- 19
- 0
- Homework Statement
- What is the general format for specifying recurring vertical asymptotes in periodic functions in set notation?
- Relevant Equations
- -2pi < x < 2pi
Hi all,
What is the general set notation for specifying a vertical asymptote and domain for a periodic function? For example, if I have a periodic function which has a period of pi/2, and within that period, a vertical asymptote occurs at pi/4. The domain is R, excluding that vertical asymptote. I am presuming that I can specify it something like:
{ x: x ∈ R, x ≠ n⋅(pi/2)+(pi/4) }, where n is an integer.
Does this look correct, or completely off?
Thanks!
What is the general set notation for specifying a vertical asymptote and domain for a periodic function? For example, if I have a periodic function which has a period of pi/2, and within that period, a vertical asymptote occurs at pi/4. The domain is R, excluding that vertical asymptote. I am presuming that I can specify it something like:
{ x: x ∈ R, x ≠ n⋅(pi/2)+(pi/4) }, where n is an integer.
Does this look correct, or completely off?
Thanks!