=0 ∴f(0)=0 ∴f(x) is differentiable at x=0 RHD=
lim
h⟶0+
−h(2+sin(
1
h
))<0 LHD=
lim
h⟶0−
−h(2+sin(
1
h
))>0 ∴x=0 is a point of maxima ∴ln(0,δ) function is decreasing (δ>0) Option (B) is correct In (−δ,0) function will be increasing (δ>0) Option (C) is incorrect