You are watching: Why is arctan of infinity pi/2
The $arctan$ attribute is the inverse feature of $$ an:left(-fracpi2,fracpi2 ight) ightarrowBbb R$$and also considering that this attribute is monotonically raising then$$lim_x ofracpi 2 an x=+inftyiff lim_x o+inftyarctan x=fracpi2$$
$$lim_x o +infty arctan x = fracπ2$$ and $$lim_x o -infty arctan x = -fracπ2,$$then in total$$lim_x o infty arctan x = fracπ2 slrfc.orgrmsgn(x).$$
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