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

问题描述:

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

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