How do you find the asymptotes for #(4x)/(x-3)#?
There is a horizontal asymptote: There is a vertical asymptote:
You can rewrite the expression.
From this, you can see that
Similarly,
Similarly,
Below is a graph for your reference. graph{(4x)/(x - 3) [-40, 40, -20, 20]}
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To find the asymptotes for the function ( \frac{4x}{x - 3} ), you first identify the vertical asymptote, which occurs when the denominator equals zero. Then, you check for any horizontal asymptotes by analyzing the behavior of the function as ( x ) approaches positive or negative infinity.
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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.
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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