it describes those infinite sequences of real numbers that grow no faster than logarithmically, ignoring constant factors and anything the sequence might do for

it describes those infinite sequences of real numbers that grow no faster than logarithmically, ignoring constant factors and anything the sequence might do for a finite number of terms at the start. assume f : N -> R. by "f in O(log n)" we mean there exist constants c >= 0 in R, m in N, such that for all n in N, if n >= m then f(n) <= c log(n)