# How do you find the limit of #(8x -lnx)# as x approaches infinity?

Use

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I'm not that comfortable using this notation, but it's so convenient!

Here it is expressed without the notation.

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To find the limit of (8x - ln(x)) as x approaches infinity, we can use the concept of limits.

First, we observe that as x approaches infinity, the term 8x grows without bound.

Next, we consider the term ln(x). As x approaches infinity, ln(x) also grows without bound, but at a slower rate compared to 8x.

Therefore, the dominant term in the expression (8x - ln(x)) is 8x.

Hence, as x approaches infinity, the limit of (8x - ln(x)) is 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.

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