# What are the asymptotes for #((x+2)(x+5))/(x+2)#?

There are no vertical or horizontal asymptotes

Step 1. Cross out any factors in both the numerator and denominator.

This reduces the function to the line

So the hole is at (-2,3).

Step 2. Find the vertical asymptotes.

Since the denominator is now 1, there are no vertical asymptotes.

Step 3. Find the horizontal asymptotes.

This is a linear equation. There are no horizontal asymptotes.

There are no horizontal or vertical asymptotes.

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To find the asymptotes of the function ( \frac{(x+2)(x+5)}{x+2} ), first note that ( x + 2 ) cancels out in the numerator and denominator, leaving ( x + 5 ).

Therefore, the function simplifies to ( x + 5 ). This function is a straight line with a slope of 1 and a y-intercept of 5.

There are no vertical asymptotes, as the function does not have any denominator terms that approach zero.

Therefore, the only asymptote is the oblique asymptote, which is the line ( y = x + 5 ).

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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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