Let a, b, c denote the sides of a triangle. Show that the quantity
\frac{a}{b\plus{}c}\plus{}\frac{b}{c\plus{}a}\plus{}\frac{c}{a\plus{}b}
must lie between the limits 3/2 and 2. Can equality hold at either limits? searchinequalitiestriangle inequalityalgebra proposedalgebralimitindia