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For a monotonic increasing/decreasing function [tex] f(x) [/tex] on [tex] x \in \mathbb{R}[/tex], we can only have supremum/infimum which is occured at [tex] x = \infty[/tex] with value [tex] \lim_{x\uparrow \infty}f(x) [/tex] Otherwise, if it was a maximum/minimum, it would violate the assumption of monotonicity.

Am I correct on the above statement?

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# Property of Monotonic Functions

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