Unbounded Real-Valued Function/Examples/-1^n by n

Example of Unbounded Real-Valued Function

The function $f$ defined on the integers $\Z$:

$\forall n \in \Z: \map f n := \paren {-1}^n n$

is unbounded.

Sources

• 1947: James M. Hyslop: Infinite Series (3rd ed.) ... (previous) ... (next): Chapter $\text I$: Functions and Limits: $\S 3$: Bounds of a Function