Question

Prove that (n^2)/ (1+n^2) is decreasing, in other words, that... ((n+1)^2/(1+(n+1)^2)) is less than (n^2/(1+n^2))

Answer 1

That is an increasing function
f(0) = 0
f(1) = 1/2
f(2) = 4/5
etc.

Answer 2

That's not a valid proof.