lim(x→∞)x^2+1/x^4+1怎么求极限,

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lim(x→∞)x^2+1/x^4+1怎么求极限,
lim(x→∞)x^2+1/x^4+1怎么求极限,

lim(x→∞)x^2+1/x^4+1怎么求极限,
lim(x→∞)(x^2+1)/(x^4+1)
=lim(x→∞)(1/x^2+1/x^4)/(1+1/x^4)
=0

因为x趋于无穷,1相对于X^2和X^4可忽略则原式变为lim(x->∞)x^2/x^4=lim(x->∞)1/x^2=0