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Evaluate lim(ntooo) sin^(n)((2pin)/(3n+1...

Evaluate `lim_(ntooo) sin^(n)((2pin)/(3n+1)),ninN.`

Text Solution

Verified by Experts

`underset(ntooo)lim{sin((2pin)/(3n+1))}^(n)=underset(ntooo)lim{sin((2pi)/(3+(1)/(n)))}^(n)`
`=underset(ntooo)lim{sqrt(3)/(2)}^(n)=0`
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