Bounded Real-Valued Function/Examples/Sine of Reciprocal

Example of Bounded Real-Valued Function

The function $g$ defined on the real numbers $\R$:

$\forall x \in \R: g := \map \sin {\dfrac 1 x}$

is bounded.


Sources

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