Hey i read about various Time Complexity Notations. I just wanted to know how big can the C (Constant ) can be . As in Big Oh Notation we say f(n)=O(g(n)) iff f(n)<=c*g(n) for all n>=n0.

For eg. We have f(n)=3n+2=O(n) as 3n+2<=4n for all n>=2 but what if we say c=2 instead of 4.

And in another example 3n+3=Sigma(n) as 3n+3>=3n for n>=1. but what if we say c=10 instead of 3.

Please help me out.