Suppose
max |f(n+j) - f(n)| <= K, K<∞, for all nature number n.
1<= j<= √n
How to see f(n) = √n O(1) in details?
[Here "O" denotes Big-o.]
Thanks a lot ~~
[p.s. So far I could only see f(n) = O(n) as n→∞.]
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