求lim(1+1/x) (2-x^2)趋向于无限时的极限

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求lim(1+1/x)(2-x^2)趋向于无限时的极限求lim(1+1/x)(2-x^2)趋向于无限时的极限求lim(1+1/x)(2-x^2)趋向于无限时的极限lim(x->∞)(1+1/x)(2-

求lim(1+1/x) (2-x^2)趋向于无限时的极限
求lim(1+1/x) (2-x^2)趋向于无限时的极限

求lim(1+1/x) (2-x^2)趋向于无限时的极限
lim(x->∞)(1+1/x)(2-x²)=lim(x->∞)(x+1)(2-x²)/x=-∞
所以不存在

lim(1+1/x) (2-x^2)=lim(1+1/x)•lim (2-x^2)=1X0=0

显然为0

-∞