lim x(arctan x-π/2) x–>∞
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limx(arctanx-π/2)x–>∞limx(arctanx-π/2)x–>∞limx(arctanx-π/2)x–>∞lim(x–>+∞)(arctanx-π/2)/(1/x)=lim(x–>
lim x(arctan x-π/2) x–>∞
lim x(arctan x-π/2) x–>∞
lim x(arctan x-π/2) x–>∞
lim(x–>+∞)(arctanx-π/2)/(1/x)
=lim(x–>+∞)[(1/(1+x^2)]/(-1/x^2)
=-lim(x–>+∞)x^2/(1+x^2)=-1
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