# How do you find the vertical, horizontal or slant asymptotes for #(e^x)/(7+e^x)#?

We do not have any other asymptote, just two horizontal asymptotes,

We do not have any other asymptote, just two horizontal asymptotes

graph{e^x/(7+e^x) [-10, 10, -2, 2]}

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To find the vertical asymptotes of the function ( \frac{e^x}{7 + e^x} ), set the denominator equal to zero and solve for ( x ). There are no vertical asymptotes for this function. To find horizontal asymptotes, consider the behavior of the function as ( x ) approaches positive and negative infinity. Since the degree of the numerator and denominator are the same (both 1), divide the leading coefficients to find the horizontal asymptote. In this case, it's ( y = \frac{1}{7} ). There are no slant asymptotes for this function.

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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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