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There is a numerical Function every mathematician knows about it and that is, when the Ratio Factor of two consecutive Numbers is powered by smaller one:

[(n+1)/n]^n and as it is known there would be a limit for greater decimals but ever increasing in smaller decimals(value) generally said : related Curve tends toward increase.

But if the same Ratio Factor is powered by (n+1),the Function would be a decreasing one,tending to approach previous Function's Curve, never having same result for a specific (n) in their smallest Decimals ever.I call this two Functions as <Tangential Curves>.

To me appears that this Model could be the most satisfactory concept of mathematical Tangent.

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12y ago

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Q: What is the Mathematical definition of tangent?
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