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=?](/uploads/image/z/13352164-52-4.jpg?t=lim%28x%E8%B6%8B%E5%90%91%E6%AD%A3%E6%97%A0%E7%A9%B7%29%28%28x%2B1%29%5E4-x%5E4-%28xsinx%29%5E2%29%2Fx%5E3%3D%3F)
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