Big O Little 0

mebigp

1. The problem statement, all variables and given/known data
f(x)=O(1)

2. Relevant equations

3. The attempt at a solution
Can 2^{f(x)} =o(1)
I think it can not be because f(x) is bounded

part 2

Find a f(x) that is not o(1) but where f(2010)=0
I think f(x) = x^2 - (2010)^2 but this is not O(1)??

mebigp	Big O Little 0 Tweet 1. The problem statement, all variables and given/known data f(x)=O(1) 2. Relevant equations 3. The attempt at a solution Can 2^{f(x)} =o(1) I think it can not be because f(x) is bounded part 2 Find a f(x) that is not o(1) but where f(2010)=0 I think f(x) = x^2 - (2010)^2 but this is not O(1)??