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

Compute the limit of the sequence

${}x_{n}=5\left({\frac {2n+1}{n}}\right)^{3}-4\left({\frac {2n+1}{n}}\right)^{2}+2\left({\frac {2n+1}{n}}\right)-3\,$

for ${}n\rightarrow \infty$.

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