Dr.Peterson
Elite Member
- Joined
- Nov 12, 2017
- Messages
- 16,805
That isn't entirely unreasonable; the perpendicular bisector is approaching vertical, and a vertical line would intersect another vertical line "at infinity", as one might imagine it. We who have more experience visualizing loci can avoid that expectation, but even we can see things incorrectly in unfamiliar circumstances. And keep in mind the curse of expertise.I too didn't expect the answer to be 1/2 but I can't think of a reason why the OP thinks that the answer should have been infinity. Just visualizing or drawing the graphs you see that the limit will not be infinity--in fact it will not be a 'large' value.