If you graph the polar function , , , , you should find a horizontal asymptote. Prove there is one, and find the other, not visible horizontal asymptote
I tried converting it back to cartesian but the equation cannot be isolated for y so that I could take the limit as x approaches positive or negative infinity. Other than that, I have no idea how to approach this problem. Any help would be appreciated.
You can approach 0 and pi both from different sides.
This leads to 4 asymptotic relations.
In 2 of those r tends to +infinity.
In the other 2, r tends to -infinity.
I can only assume that the last 2 are considered "not visible", since in polar coordinates r should be positive.