Why are aromatic rings stable?
Aromatic rings are stable because they are cyclic, conjugated molecules.
Conjugation of π orbitals lowers the energy of a molecule.
Thus, the order of stability is ethene < buta-1,3-diene < hexa-1,3,5-triene ≪ benzene.
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Aromatic rings are stable due to the delocalization of pi electrons around the ring, which creates a resonance structure. This resonance results in electron density being spread out over multiple atoms, lowering the overall energy of the molecule and increasing its stability. Additionally, the cyclic conjugation of pi electrons in aromatic compounds satisfies Hückel's rule, further stabilizing the molecule.
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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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