Find the approximate value
13
Σ [1/n!]
n=0
Guess the value of
∞
Σ [1/n!]
n=0
2007-03-02 19:07:42 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The bottom series that you listed converges to e or about 2.71828.... The above should be very very close to it so roughly 2.70 would say. The bottom series I believe is actually one of the definitions of the number e (Euler's number) Im a bit tired but the link has the sequence and what not.
2007-03-02 19:17:42 · answer #1 · answered by revolutionist1985 2 · 0⤊ 0⤋
edit:
Oops, missed the n=0!
0! â¡ 1
2.7182818284467590023145578701134
e = 2.7182818284590452353602874713527
The two are identical up to the 10th decimal place.
2007-03-03 03:45:30 · answer #2 · answered by Helmut 7 · 0⤊ 0⤋
um... if n=0, then they are both undefined.. at least that's what my college algebra professors said... but i don't know what the funkey E is, so i'm sorry.
2007-03-03 03:37:44 · answer #3 · answered by Your mom goes to college 3 · 0⤊ 0⤋
(pi^2)/6
2007-03-03 03:13:08 · answer #4 · answered by gjmb1960 7 · 0⤊ 1⤋