# How do you find the asymptotes for #y = (4 e^x)/(e^x - 2)#?

Vertical asymptote at

Horizontal asymptote at

The graph of the function verifies this.

graph{(4e^x)/(e^x-2) [-10.59, 11.91, -4.14, 7.11]}

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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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