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| Topic: |
Science
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| Number of pages / Number of words: |
3 / 668 |
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For instance:
As n = 4, 5, 100, 1000
Even the 1,000,000th term of the sequence doesn't yield to the correct value for the six the decimal places. The 100,000,000th term does not give the correct value for the eighth decimal places.
We are now in a position to recognize that fabulous work of Leonhard Euler upon finding the value for e up to nine decimal places
e = 2...
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However, the above proof has prevented us from thinking that way. Incidentally, e is not a rational number.
We have proved that e is irrational, now it remains to show that e is transcendental. Here lies the definition for transcendental number: "A transcendental number is a number that is not the root of any integer polynomial, meaning that it is not an algebraic number of any degree...
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