lim(x→ 0)f(x)
=lim(x→ 0)(x-ln(1+x))/xln(1+x)
=lim(x→ 0)(x-ln(1+x))/x²
=(洛)lim(x→ 0)1/2(1+x)
=1/2
f(1)=1/ln2-1
f(x)在(0,1]上单调减
∴M=1/2
∴m=f(1)=1/ln2-1
lim(x→ 0)f(x)
=lim(x→ 0)(x-ln(1+x))/xln(1+x)
=lim(x→ 0)(x-ln(1+x))/x²
=(洛)lim(x→ 0)1/2(1+x)
=1/2
f(1)=1/ln2-1
f(x)在(0,1]上单调减
∴M=1/2
∴m=f(1)=1/ln2-1