lim(x趋向正无穷)((x+1)^4-x^4-(xsinx)^2)/x^3=?

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lim(x趋向正无穷)((x+1)^4-x^4-(xsinx)^2)/x^3=?
lim(x趋向正无穷)((x+1)^4-x^4-(xsinx)^2)/x^3=?

lim(x趋向正无穷)((x+1)^4-x^4-(xsinx)^2)/x^3=?
当x→+∞时,lim[(x+1)^4-x^4-(xsinx)^2]/x^3=lim[4+6/x+4/x^2+1/x^3-(sinx)^2/x]=4-lim[(sinx)^2/x]=4