lim(1+x^2-cos2x)^(1/lnx),x趋近于0+
问题描述：
lim(1+x^2-cos2x)^(1/lnx),x趋近于0+
答
lim (1 + x^2－cos2x) ^ (1/lnx) (x—>0+)＝lim [ x^2 + 2(sinx)^2 ] ^ (1/lnx) ＝lim [ x^2(1 + 2(sinx/x)^2) ] ^ (1/lnx) ＝lim (x^2)^(1/lnx) * lim [(1 + 2(sinx/x)^2) ]^(1/lnx)＝lim (x^2)^(1/lnx) * 3^0 (x—...