the problem. What I'm looking for is the upper/lower bound as a function of c and j. Consider a simple example, the upper bound of c-1 is c, for any c. Can we get similar upper/lower bound for the formula? For example, it looks to me that 1-1/c is an upper bound, although it is not clear how tight this bound is. We would like the bounds to be as tight as possible.

the problem. What I'm looking for is the upper/lower bound as a function of c and j. Consider a simple example, the upper bound of c-1 is c, for any c. Can we get similar upper/lower bound for the formula? For example, it looks to me that 1-1/c is an upper bound, although it is not clear how tight this bound is. We would like the bounds to be as tight as possible.

The formula is 1/(j*(c^j-1)) where j is any natural number and c is any natural number greater than 1.

The formula is 1/(j*(c^j-1)) where j is any natural number and c is any natural number greater than 1.

How can I get least upper bound and greatest lower bound?

How can I get least upper bound and greatest lower bound?