- #1
Poetria
- 267
- 42
Homework Statement
How do the values of the following functions move in the complex plane when t (a positive real number) goes to positive infinity?
y=t^2
y=1+i*t^2[/B]
y=(2+3*i)/t
The Attempt at a Solution
I thought:
y=t^2 - along a part of a line that does not pass through the origin
y=1+i*t^2 - along a part of parabola
y=(2+3*i)/t - along a part of hyperbola
Unfortunately everything is wrong. I understand that e.g. y=1+i*t^2 is a line =1 and a parabola but I don't know how to connect it. Could you give me a hint how to visualise this?
Other possibilities: spirals inward/outward, clockwise/counterclockwise, along a circle, radially inward/outward
[/B]