Real Sequence/Examples/1

Examples of Real Sequence

The first few terms of the real sequence:

$S = \sequence 1_{n \mathop \ge 1}$

are:

$1, 1, 1, 1, \dotsc$


$S$ is both increasing and decreasing.


Sources

  • 1958: J.A. Green: Sequences and Series ... (previous) ... (next): Chapter $1$: Sequences: $1$. Infinite Sequences: Example $3$
  • 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 4$: Convergent Sequences: $\S 4.3$: Examples: $\text{(iii)}$
  • 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 4$: Convergent Sequences: $\S 4.16$: Example $\text{(iii)}$