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lim as t-> ∞ [arctan(t)]
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LOLWUT.
pi/2
If you look at the graph of tan(t) there are asymptotes every pi/2 radians. So, if you inverse the image of tan(x) on a graph, you can see that there is an asymptote at y=pi/2 and y=-pi/2. So, if you extend to infinity the limit approached pi/2 and if you extend to -infinity, the limit approaches -pi/2.
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