First of all, pi is an approximation, right?

Why is pi only an approximation?

Secondly, what exactly is the meaning of the number e?

Why is e only an approximation or is it?

Question:

pi^(pi) times e^(e) =

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- Jan 12th 2007, 01:05 PM #1

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- Jan 12th 2007, 01:16 PM #2

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No its not an approximation. It is transcendental, that is its not a

root of a polynomial with rational (or integer) coefficients.

Being transcendental it is irrational which means that it cannot be

writen as a ratio of integers, nor can it be written as a terminating

or periodic decimal.

Why is pi only an approximation?

Secondly, what exactly is the meaning of the number e?

has interesting and usefull properties.

Specificaly it the the number which has the property that is the solution of:

satisfying .

Why is e only an approximation or is it?

RonL

- Jan 12th 2007, 01:18 PM #3
is irrational, so know matter how many decimal places you write, there will always be more. So whatever number you use for it will be an approximation.

Secondly, what exactly is the meaning of the number e?

Why is e only an approximation or is it?

It too is irrational, so is irrational.

Although,

- Jan 13th 2007, 02:14 PM #4

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