Find, with proof, the smallest real number C with the following property:
For every infinite sequence {xi} of positive real numbers such that x1+x2+⋯+xn≤xn+1 for n=1,2,3,⋯, we have
x1+x2+⋯+xn≤Cx1+x2+⋯+xn∀n∈N. inductioninequalitiesinequalities unsolved