lim 1-cos4x/2sin^2x+xtan^2x x趋近于0 求极限
问题描述:
lim 1-cos4x/2sin^2x+xtan^2x x趋近于0 求极限
答
因为1-cos4x/2sin^2x+xtan^2x
=1-(1-2sin^2x)/2sin^2x+sin^2x/cos^2x
=2sin^2x/2sin^2x+sin^2x/cos^2x
=2/1+1/cos^2x
所以原式=2/2=1