Show that (n 3 2n)/(n +1) = (n 2 ).

24. Show that (n} 2n)/(n +1) = (n ). 29. Show that if f(n) = 0 (n?) and g(n) = 0 (ny), then f(n)+ g (n) = 0 (n3) and f(n) g (n) = 0 (n)). In this case, is it true that g (n) /f (n) = 0 (n)? 32. Draw a picture of the graph with vertices {V1, V2, V3} and edges {(v1, v1), (v1, v2), (v2,v3), (v2, v1), (03, v1)}. Enumerate all cycles with base v1