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Given lim(n->oo)((3nCn)/(2nCn))^(1/n) =a...

Given `lim_(n->oo)((3nC_n)/(2nC_n))^(1/n) =a/b` where a and b are relatively prime, find the value of `(a + b)`.

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The correct Answer is:
5
`A/B=lim_(nrarroo)(((2n+1)(2n+2)(2n+3)……(2n+n))/((n+1)(n+2)(n+3)…(n+n)))^(1//n)`
`In(A/B)=lim_(nrarroo)1/n sum_(r=1)^(n)In((2+r/n)/(1+r//n))`
`int(0)^(1)In(((2+x))/((1+x)))dx="ln" 27/16`
`A=27` & `B=16`
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