The discussion revolves around finding the limit of the exponential function as a complex variable approaches infinity. Participants are exploring the behavior of the function exp(z) where z is a complex number.
Some participants have raised questions about the oscillatory behavior of the function and its implications for the limit. There is an acknowledgment of different paths leading to varying limits based on the approach taken towards infinity, indicating a productive exploration of the topic.
Participants note that depending on the path taken in the complex plane, such as approaching along the real axis versus the imaginary axis, the limits can yield different results, which complicates the determination of a single limit as z approaches infinity.
rmcclurk said:Is it because e^iy = r(cos(y)+i*sin(y)) and that equation simply oscillates and never goes to infinity no matter how large y gets?