The sequence $1, 2, 3, \dots$

Example · Elementary

Terms

Term	This example	Why
divergent	✓	The sequence $1, 2, 3, \dots$ is divergent because it diverges to $\infty$.
sequence	✓
bounded	✗	The sequence $1, 2, 3, \dots$ is not bounded.
cauchy sequence	✗	The sequence $1, 2, 3, \dots$ is not Cauchy, because consecutive terms always differ by $1$.

Distinctions using this example

• Types of infinity

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