what is the value of e?

Question

re: e is a common value used in differential calculus

Answer 1

E is an irrational number like pi.

It can however be approximated as 2.718281828....

Answer 2

e is the unique number satisfying ln(e)=1, where y=ln(x) is the natural logarithm function, defined by ln(x)=\int_{0}^{x} 1/t dt, for x > 0.

Using limits,
e=\lim_{x \to infinity} (1+1/x)^x

e=\lim_{x \to zero+} (1+x)^x

e^x=sum_{k=0}^{infinity} x^k / k!

The use of the letter e to represent the number was established by Euler (1707-1783). As noted above, e is irrational (its decimal representation goes on forever and never repeats). I blieve Euler was the first to prove this as well.

e has many amazing properties. From Euler's formula,
e^{it}=cos(t)+i sin(t), we get that e^{i Pi}=-1.

Answer 3

The exact value is actually the limit of x to infinity of (1+1/x)^X which is appoximately 2.71828 18284 59045 23536 .

Answer 4

To get e exactly take the lim as n approaches infinity of:

(1 + 1/n)^n

Approximately 2.72

Answer 5

Really have no idea, but I'll take a shot in the dark and say...infinity.

Answer 6

e is a irrational number

Its value is 2.7182818284590452353602874713

Answer 7

e is a higher tonal value than c.

Answer 8

event /frequency of event p(e) freq of e over total freqency =f over n

Answer 9

2.718281828459045235360287471352