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Prove the following If f(n) = O(g(n)), then f(n) + g(n) = 0(g(n)). If f(n) = ohm(1), f(n) = O(f(n)^2). If f(n, m) = (n

Prove the following
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If f(n) = O(g(n)), then f(n) + g(n) = 0(g(n)). If f(n) = ohm(1), f(n) = O(f(n)^2). If f(n, m) = (n + 1)^m, then f(n, m) = O(n^m), for all m greaterthanorequalto 1

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