How transclusion works
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Atonishing identities
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We all know the reamarkable identity :
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We can generalize to the power of to give the following identity:
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Then we can see that the first term of the right member can be factorized as followed.
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That gives :
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We can operate times until we get the next general formula :
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or again :
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It's interesting to see that becomes zero when approaches infinity.
Indeed, we have :
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So the left member of the equation is also zeroed.
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for all values of a, b et p.
Astonishing, isn't it ?
Demonstration 2 : Any number is equal to 1
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Here is another example.
Any number can be written as a power of its nth-root, can be as great as you want..
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In maths, we write nth-root of a number in 2 ways :
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or as a power of an unit fraction,
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So, we can write :
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The limit of each factor , when n goes towards infinity, is equal to 1 :
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So:
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Any number is equal to 1.