# Is this right? Lim using derivative?

Well, no.

Try applying the limit product rule:

The second limit has two options.

Here we assume that the limit product rule requires both limits to be approached from the same direction.

Here you can rewrite this as:

On the other hand...

Again, note that this limit only exists due to approaching from the right, not the left.

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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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