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anniferathonniz8km

anniferathonniz8km

Answered question

2022-04-07

1 2 N ( 1 1 2 N ) t 1 2 N e t 2 N
what assumption are needed for this approximation to be useful.

Answer & Explanation

Brennan Frye

Brennan Frye

Beginner2022-04-08Added 20 answers

One way to define e x is via
e x = lim n ( 1 + x n ) n
By re-arranging your forumula a bit, you get
1 2 N ( 1 1 2 N ) t = 1 2 N ( 1 + t 2 N t ) t Compare to  e x  for  x = t 2 N 1 2 N e t 2 N ,
at least for large enough t.

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