For example, we can prove that 10x grows faster than f100 (x) = x100 For large values
of x like x = 103, note that f100 (x) = (103)100 = 10300 whereas f(103) = 
10103
= 101000 Clearly f (x) is much greater than f100 (x) It is not difficult to prove that for all
x > 103, f (x) > f100 (x)