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Limiting Mean part 2 (Posted on 2010-03-10) Difficulty: 1 of 5
Evaluate:

Limit A(m)/m
m → ∞ where A(m) denotes the arithmetic mean of the m positive integers m+1, m+2, ....., 2m.

Next evaluate:

Limit G(m)/m
m → ∞ where, G(m) denotes the geometric mean of the m positive integers m+1, m+2, ....., 2m.

No Solution Yet Submitted by Jer    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution More exact solution for second part? Comment 2 of 2 |

Using methods similar to those for "Limiting Mean", an exact analytical answer to the second part of this problem appears to be sqrt(7/3).

 

I agree with Daniel's answer to the first part, 1.5


  Posted by Kenny M on 2010-03-10 20:09:48
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