Sequence/3n^3-5n^2+7 over 4n^3+2n-1/Under 2x^4-6x^3+x^2-5x+3/Exercise

Compute the limit of the sequence

${}b_{n}=2a_{n}^{4}-6a_{n}^{3}+a_{n}^{2}-5a_{n}+3\,,$

where

${}a_{n}={\frac {3n^{3}-5n^{2}+7}{4n^{3}+2n-1}}\,.$

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