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Question: Finding locations of maxima and minima

Question:Finding locations of maxima and minima

prAne 10
August 31 2013
0

Hello,

Plotting the follwing function between x=0..2*Pi

Where n is a positive integer

gives something that oscilattes more and more frequently as n increases with the number of oscillations in any given interval of x tending to infinity as n tends to infinity.

For any given n there are clearly 4 global maxima/minima in the x interval [0,2*Pi]

 

Is it possible to get maple to calculate the location of these 4 maxima and minima and return the answer as a function of n? Or is this wishful thinking and I'm going to have to do some more work on pen and paper first?
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