How do you find #lim (3x)/(4x-10)# as #x->-oo#?

Answer 1

#-3/4#

Ignore the -10 since it's irrelevant when you get to high numbers such as infinity so treat the limit as:

#lim (3x)/(4x)# as x→−∞

Cancel out the x's:

#lim (3)/(4)# as x→−∞
Now there are no more x's so #3/4# is your answer.
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Answer 2

To find the limit of (3x)/(4x-10) as x approaches negative infinity, we can divide both the numerator and denominator by x. This gives us (3)/(4-(10/x)). As x approaches negative infinity, 10/x approaches 0. Therefore, the limit simplifies to 3/4.

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Answer from HIX Tutor

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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