1lim[（1+1/(x^2)]^x=lim[（1+1/(x^2)]^(x²/x)=lime^(1/x)x→0+,lime^(1/x)→+∞x→0-,lime^(1/x)→0不存在极限2X趋近于正无穷,lim(pai/2-arctanx)^1/lnx=lime^{[ln(pai/2-arctanx)]/lnx}=lime^0=1...