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Limit of a Sequence, Rational Function

SVCALC-NO1ZLQ

Find the limit of the sequence:

$$\\\{a\_n\\\}\_{n=1}^\infty$$

...where:

$$a_n=\frac{2n^2-3n+4}{4n^2+n+1}$$

...if the limit exists.

A

$0$

B

$\cfrac{1}{2}$

C

$1$

D

$4$

E

The limit does not exist