What are the horizontal asymptotes of the function f of x equals the quotient of the square root of the quantity x squared plus 1 and x?

Given the function

The two points concerning the domain are:

Nevertheless, the content of the square root is , which is always positive, so it's not a problem.

The denominator, which is x, can't be zero, so we can't have

So, the domain of the function is

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