Questions on integration, see attachment.© BrainMass Inc. brainmass.com February 24, 2021, 2:13 pm ad1c9bdddf
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1. Proof. Since 0 x /2, 0 Sin(x) 1.
So 2 2+Sin(x) 3. Thus,
*( /2) (1+ /2)* ( /2)= (2+ )* ( /4)
2. Solution. By the Stirling formula we have,
where ~ is used to indicate the ratio of both sides goes to 1 as n tends to infinity.
By the definition of = and the Stirling formula, we have (as n-> )
~ / ...
The integration for standard partition and integrable over a range are determined.