If l is a line through (0,0), the point (0,0) divides the line l into two rays. Also, a complex-valued function g on a set S is said to be bounded if there is some finite M such that |g| < M on the set S. So we need to find out for which rays through the origin does e^z satisfy this property.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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If l is a line through (0,0), the point (0,0) divides the line l into two rays. Also, a complex-valued function g on a set S is said to be bounded if there is some finite M such that |g| < M on the set S. So we need to find out for which rays through the origin does e^z satisfy this property. 

Determine which rays starting at the origin are such that e² is bounded
on the ray.
Transcribed Image Text:Determine which rays starting at the origin are such that e² is bounded on the ray.
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