yes because if you keep gaining weight you can stop your heart from pumping because blood can not get to your whole body
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It is an example of continuous variations.
Examples of continuous variation are anything that can be measured such as, shoe size, height, weight, hand span and diameter of limpit shells. Discontinuous variation however is when there is a clear cut difference such as different colours or different species.
How about f(x) = floor(x)? (On, say, [0,1].) It's monotone and therefore of bounded variation, but is not Lipschitz continuous (or even continuous).
discrete
hair colour