Why do diabetics have the fruity smell of ketones on their breath?
Diabetics don't typically have the fruity smell of ketones on their breath, but they do when...
They are in diabetic ketoacidosis (DKA), which is a serious medical emergency.
Because people with Type-1 diabetes are unable to produce insulin and must rely on injections to control their blood sugar, they become hyperglycemic, or have too much glucose in their blood but not enough insulin to move it to the liver or cells. This can lead to diabetic ketoacidosis (DKA).
The body first tries to expel the extra glucose through the urine, but this needs water. Eventually, the patient will become extremely dehydrated, which is exacerbated by the sharp loss of other ions in the urine, like potassium and sodium. At this point, the liver begins to release fatty acids and convert an increasing amount of its glucagon stores into glucose, a process that is typically inhibited by insulin.
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Diabetics may have a fruity smell of ketones on their breath due to the body breaking down fat for energy in the absence of sufficient insulin. This process produces ketones, and their accumulation can lead to a distinctive odor in the breath.
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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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