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Homework Help: Why arctan(n) goes to pi/2 as n goes infinite?

  1. Dec 12, 2011 #1
    I posted the picture of this question I am just wondering. Why does arctan(n) as n → ∞ go to ∏/2? How would you show that part more in depth?
    Also what would arccos(n) and arcsin(n) go to as n goes to infinite?
     

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  3. Dec 12, 2011 #2

    Dick

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    y=arctan(n) then tan(y)=n. Sketch a graph of tan(y) for y between -pi/2 and pi/2. What value must y approach so tan(y) approaches infinity?
     
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