Are macromolecules and polymers the same?
No, they are not necessarily the same.
Large molecules composed of smaller subunits are referred to as macromolecules. When the subunits are all of the same type, the macromolecules are called polymers, and the subunits are called monomers. If the subunits are different types, the macromolecules are just called macromolecules.
Polymer examples include:
An illustration of a macromolecule
Thus, while all macromolecules are polymers, not all polymers are macromolecules!
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No, macromolecules and polymers are not the same, although they are related concepts. Macromolecules are large molecules composed of repeating structural units, while polymers are a type of macromolecule composed of repeating monomer units. All polymers are macromolecules, but not all macromolecules are polymers.
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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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