已知lim(x→0）[f(3x)/x]=3 求lim(x→0) [2x/f(5x)]_数学解答

已知lim(x→0）[f(3x)/x]=3 求lim(x→0) [2x/f(5x)]

人气：358 ℃　时间：2020-05-01 07:19:52

解答

lim(x→0）[f(3x)/x]=3
所以
lim(x→0）[f(3x)/3x]=1
lim(x→0) [2x/f(5x)]
=lim(x→0) [5x/f(5x)]*2/5
=1*2/5
=2/5