设函数f x=e^2x-2x,lim f'(x)/e^x -1等于 ,x→0_数学解答

设函数f x=e^2x-2x,lim f'(x)/e^x -1等于 ,x→0

人气：232 ℃　时间：2020-03-25 10:53:41

解答

lim(x→0) f'(x)/(e^x -1)
=lim(x→0) [2e^2x-2]/(e^x -1)
=lim(x→0) 2(e^2x-1)/(e^x -1)
=lim(x→0) 4x/x
=4