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Re: [Phys-L] My 2 cents re: irresistible forces and immovable objects.
From
: John Denker <
jsd@av8n.com
>
Date
: Tue, 30 Jan 2018 14:30:39 -0700
Following up on Bob Sciamanda's nifty post on 01/30/2018 11:47 AM...
The mathematical limit does not have to be well-behaved
or even well-defined. The limit might simply not exist.
Explicit example:
F = t^2
which is clearly irresistible in the limit as t → ∞
m = t [1-sin(t)] + t^3 [1+sin(t)]
which oscillates between 2t and 2t^3 but is in any
case immovable in the limit as t → ∞.
The ratio F/m exists for any finite t, but does not
exist in the limit. The sequence does not converge.
Hint: draw the graph.
Or apply l'Hôpital's rule a few times.
References
:
[Phys-L] My 2 cents re: irresistible forces and immovable objects.
From:
"Bob Sciamanda" <treborsciamanda@gmail.com>
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