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exponent/ the base of a natural log, the ln thing

2007-01-29 15:01:25 · 5 answers · asked by koushik c 1 in Science & Mathematics Mathematics

edit:// i need some interesting and fun facts about it

2007-01-30 07:51:59 · update #1

5 answers

e is Euler's number, a transcendental number (approximately equal to 2.718281828459045235360287471352) which is used as the base for natural logarithms.

One version of a representation of e is e = sum{n=0 to infinity} of 1/n!

Another representation of e is the limit as x approaches infinity of (1 + 1/x)^x

2007-01-29 15:10:49 · answer #1 · answered by gp4rts 7 · 0 0

You are the boss and want to hire the best person for the job. The rules are that you must decide to hire the person immediately after the intereview. Say there are N people and you decide to proceed as follows:

Interview the first n people. Don't hire any of them. But hire the first person after that who is better than the first n. Let n be chosen so as to optimize your choice. Then

limit as N goes to infinity of n/N = 1/e.

That is, you should look at 1/e of the people before making up your mind.

2007-01-29 15:32:35 · answer #2 · answered by berkeleychocolate 5 · 0 0

really useful in calculus. The function e^x is such that its derivative is eqaul to the original function. In other words, the derivative of e ^ x is e ^x.

2007-01-29 15:11:52 · answer #3 · answered by Anonymous · 0 0

e=lim x--->∞ (1+1/x)^x
also e=sum x=0 to ∞ 1/x!

2007-01-29 15:08:49 · answer #4 · answered by yupchagee 7 · 0 0

the most amazing formula in mathematics is e^(i*pi)=-1.
check for yourself.

2007-02-06 13:27:34 · answer #5 · answered by Alberd 4 · 0 0

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