# How do you graph and find the discontinuities of #(x^(1/2) +1)/(x+1) #?

Horizontal asymptote at

Domain:

Discontinuities are caused by holes, jumps, vertical asymptotes, or specific function limitations.

Holes are found if any factors from the numerator can be canceled from the denominator. In this equation no factors can be canceled, so there are no holes.

To graph the function you would want to know that there is a horizontal asymptote.

Graph: graph{(sqrt(x)+1)/(x+1) [-4.205, 15.795, -4.76, 5.24]}

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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