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Find the horizontal asymptote(s) for the following function:

$$f(x)=\cfrac{4x-3}{\sqrt{3x^2-1}}$$

A

$\cfrac{4}{\sqrt{3}}$

B

$-\cfrac{4}{\sqrt{3}}$

C

$\cfrac{4}{\sqrt{3}}$ and $-\cfrac{4}{\sqrt{3}}$

D

There are no horizontal asymptotes.

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