谁能帮帮我这几道题怎么做,求答案和简单的步骤。万分感谢
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1、(x→∞)lim[(3x²+2)/(2x²+3)] = lim[(3+2/x²)(2+3/x²)] = 3/2
2、(x→3)lim[(x²-9)/(x-3)] = lim(x+3) = 6
3、(x→∞)lim(1+2/x)^x = lim{[1+1/(x/2)]^(x/2)}² = e ²
4、(x→0)lim[(1+x-e^x)/(x²)] = lim[(1-e^x)/2x] = lim[(-e^x)/2] = -1/2
5、(x→0)lim(1-x)^(2/x) = e ²
6、(x→0)lim[ln(1+2x)/sinx] = lim[2/(1+2x)]/cosx = 2
7、(x→2)lim[(x-2)/(x²-4)] = lim[1/(x+2)] = 1/4
题太多了,我还有别的事,根据我以上的思路,其他你应该没问题了!
2、(x→3)lim[(x²-9)/(x-3)] = lim(x+3) = 6
3、(x→∞)lim(1+2/x)^x = lim{[1+1/(x/2)]^(x/2)}² = e ²
4、(x→0)lim[(1+x-e^x)/(x²)] = lim[(1-e^x)/2x] = lim[(-e^x)/2] = -1/2
5、(x→0)lim(1-x)^(2/x) = e ²
6、(x→0)lim[ln(1+2x)/sinx] = lim[2/(1+2x)]/cosx = 2
7、(x→2)lim[(x-2)/(x²-4)] = lim[1/(x+2)] = 1/4
题太多了,我还有别的事,根据我以上的思路,其他你应该没问题了!
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