由两个重要极限中的lim(1+1/x)^(x)=e(x趋于无穷)可对该式子进行变化 有lim(1-1/(x^2))^(x)=lim(1-1/(x^2))^(-x^2/x) =lim((1-1/(x^2))^(-x^2))^(-1/x) =lime^(-1/x)=1(x趋于无穷)