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lim <x →+∞> arctan(x^5 − x^8) = lim <x →+∞> arctan[x^5(1−x^3)]
= arctan(-∞) = -π/2 ;
lim <x →-∞> arctan(x^5 − x^8) = lim <x →-∞> arctan[x^5(1−x^3)]
= arctan(-∞) = -π/2.
故 lim <x →∞> arctan(x^5 − x^8) = -π/2
= arctan(-∞) = -π/2 ;
lim <x →-∞> arctan(x^5 − x^8) = lim <x →-∞> arctan[x^5(1−x^3)]
= arctan(-∞) = -π/2.
故 lim <x →∞> arctan(x^5 − x^8) = -π/2
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