几道大学微积分求极限的题1,lim(x→∞){(x-3)^12(2x+1)^8/(3x-1)^20}2,lim(x→+∞){(3x³+5x²+4)/[(√x^6)+2]}3,lim(x→∞)[x+³√(1-x³)]4,lim(x→1){[√(x+3)-2]/√x-1}
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![几道大学微积分求极限的题1,lim(x→∞){(x-3)^12(2x+1)^8/(3x-1)^20}2,lim(x→+∞){(3x³+5x²+4)/[(√x^6)+2]}3,lim(x→∞)[x+³√(1-x³)]4,lim(x→1){[√(x+3)-2]/√x-1}](/uploads/image/z/4723261-61-1.jpg?t=%E5%87%A0%E9%81%93%E5%A4%A7%E5%AD%A6%E5%BE%AE%E7%A7%AF%E5%88%86%E6%B1%82%E6%9E%81%E9%99%90%E7%9A%84%E9%A2%981%2Clim%28x%E2%86%92%E2%88%9E%29%EF%BD%9B%28x-3%29%5E12%282x%2B1%29%5E8%2F%283x-1%29%5E20%EF%BD%9D2%2Clim%28x%E2%86%92%2B%E2%88%9E%29%EF%BD%9B%283x%26sup3%3B%2B5x%26sup2%3B%2B4%29%2F%5B%28%E2%88%9Ax%5E6%29%2B2%5D%EF%BD%9D3%2Clim%28x%E2%86%92%E2%88%9E%29%5Bx%2B%26sup3%3B%E2%88%9A%281-x%26sup3%3B%29%5D4%2Clim%28x%E2%86%921%29%EF%BD%9B%5B%E2%88%9A%28x%2B3%29-2%5D%2F%E2%88%9Ax-1%EF%BD%9D)
几道大学微积分求极限的题1,lim(x→∞){(x-3)^12(2x+1)^8/(3x-1)^20}2,lim(x→+∞){(3x³+5x²+4)/[(√x^6)+2]}3,lim(x→∞)[x+³√(1-x³)]4,lim(x→1){[√(x+3)-2]/√x-1}
几道大学微积分求极限的题
1,lim(x→∞){(x-3)^12(2x+1)^8/(3x-1)^20}
2,lim(x→+∞){(3x³+5x²+4)/[(√x^6)+2]}
3,lim(x→∞)[x+³√(1-x³)]
4,lim(x→1){[√(x+3)-2]/√x-1}
几道大学微积分求极限的题1,lim(x→∞){(x-3)^12(2x+1)^8/(3x-1)^20}2,lim(x→+∞){(3x³+5x²+4)/[(√x^6)+2]}3,lim(x→∞)[x+³√(1-x³)]4,lim(x→1){[√(x+3)-2]/√x-1}
lim(x→∞){(x-3)^12(2x+1)^8/(3x-1)^20}
=lim(x→∞){(1-3/x)^12(2+1/x)^8/(3-1/x)^20}
=2^8/3^20
lim(x→+∞){(3x³+5x²+4)/[(√x^6)+2]}
=lim(x→+∞){(3x³+5x²+4)/[(x^3)+2]}
=3
lim(x→∞)[x+³√(1-x³)]
=lim(x→∞)[x+³√(1-x³)][x^2-x³√(1-x³)+³√(1-x³)^2]/[x^2-x³√(1-x³)+³√(1-x³)^2]
=lim(x→∞)1/[x^2-x³√(1-x³)+³√(1-x³)^2]
=0
lim(x→1){[√(x+3)-2]/√x-1}
=lim(x→1){[√(x+3)-2][√(x+3)+2]/[√x-1][√(x+3)+2]}
=lim(x→1)[√x-1]/[√(x+3)+2]
=0