Find the Limit of the Sequence If It Converges; Otherwise $$a _ { n } = n - \sqrt { n ^ { 2 } - 18 n }$$

question 18

Multiple Choice

Find the limit of the sequence if it converges; otherwise indicate divergence.
- $$a _ { n } = n - \sqrt { n ^ { 2 } - 18 n }$$

• A) \(\sqrt { 18 }\)
• B) 0
• C) 9
• D) Diverges

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Definitions:

Major Organic Product

The primary compound that results from a chemical reaction involving organic reactants, often in higher yield compared to any side products.

Nonbonding

Pertaining to electrons in an atom or molecule that are not shared with other atoms and do not participate in bonding.

Π Molecular Orbital

A type of molecular orbital formed by the sideways overlap of atomic orbitals, crucial in understanding the bonding in conjugated systems.

Allyl Cation

A positively charged ion with a structure characterized by a carbon atom connected to three other carbon atoms via a sigma bond and two pi bonds, forming a resonance-stabilized intermediate in organic reactions.