sin4x/(根号X+4)-2 X趋向0的极限_数学解答

sin4x/(根号X+4)-2 X趋向0的极限

人气：265 ℃　时间：2020-05-24 12:44:29

解答

limsin4x/[√(x+4)-2]
=limsin4x*[√(x+4)+2]/{[√(x+4)-2]*[√(x+4)+2]}
=limsin4x*[√(x+4)+2]/[(x+4)-4]
=limsin4x*[√(x+4)+2]/x
=lim4*[√(x+4)+2]
=4*(2+2)
=16