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Analitic function

 
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Dec5-11, 08:02 AM   #18
 

Analitic function


Thanks. What about

[tex]\lim_{R\to\infty}e^{ikR\cos t}[/tex]?
Dec5-11, 10:01 AM   #19
 
Quote by matematikuvol View Post
Thanks. What about

[tex]\lim_{R\to\infty}e^{ikR\cos t}[/tex]?
How about you answer that assuming k, R and t are real numbers. Use the Euler identity:

[tex]e^{ix}=\cos(x)+i\sin(x)[/tex]

What is the maximum in absolute value that expression attains? Does it ever settle down to a limit no matter how large x gets?
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