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OpenStudy (snowflakelove15):
You can approximate e by substituting large values for n into the expression ________.
A. (1-n)^1/n
B.(1+1/n)^n
C. (1+n)^1/n
D.(1-1/n)^n
9 years ago
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OpenStudy (zzr0ck3r):
google
9 years ago
OpenStudy (evoker):
I would recommend looking at the wiki for e
9 years ago
OpenStudy (snowflakelove15):
I did I couldn't find anything
9 years ago
OpenStudy (evoker):
It's in the first couple sentences on the Wikipedia entry
9 years ago
OpenStudy (zzr0ck3r):
B
9 years ago
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OpenStudy (zzr0ck3r):
lol
9 years ago
jimthompson5910 (jim_thompson5910):
You can plug in large numbers into n (like n = 1000) and see which get you close to e = 2.71828182846...
9 years ago
OpenStudy (snowflakelove15):
Thank you both of you, B was correct!
9 years ago
OpenStudy (zzr0ck3r):
hint: \(e^x=\lim_{n\rightarrow \infty}(1+\frac{x}{n})^n\)
9 years ago
jimthompson5910 (jim_thompson5910):
Yes it's B since
(1+1/n)^n = (1+1/1000)^1000 = 2.7169239322356
which is fairly close. Just off at the 3rd decimal digit. Use larger values of n to get closer
9 years ago
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