`lim_(ntooo) (n(2n+1)^(2))/((n+2)(n^(2)+3n-1))" is equal to "`
`lim_(ntooo) (n(2n+1)^(2))/((n+2)(n^(2)+3n-1))" is equal to "`
A. 1
B. 0
C. 2
D. none of these
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Correct Answer - C
`underset(ntooo)lim(n(2n+1)^(2))/((n+2)(n^(2)+3n-1))=underset(ntooo)lim((2+(1)/(n))^(2))/((1+(2)/(n))(1+(3)/(n)-(1)/(n^(2))))`
`=((2+0)^(2))/((1+0)(1+0+0))=4`
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