Bounded Real Sequence/Examples

Examples of Bounded Real Sequences

Example: $1 - \frac 1 n$

Let $\sequence {s_n}_{n \mathop \ge 1}$ be the real sequence defined as:

$s_n = 1 - \dfrac 1 n$

That is:

$\sequence {s_n}$ is the sequence of $1$ minus the reciprocals of the strictly positive integers.

Then $\sequence {s_n}$ is bounded.