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Find the value of [,(1+0.0001)^10000] where [.] represents greatest integer function

Find the value of [,(1+0.0001)^10000] where [.] represents greatest integer function

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
You should expect that to be very close to e,
defined as the limit
as n-->infinity of (1 + 1/n)^n.
Since e is 2.718+, the greatest integer function will truncate to [2.718+] = 2. 

My calculator gives 2.7181459268249 as the value before rounding, so you do have a value close to e.
 
hope it helps

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