Find the Limit of the Sequence If It Converges; Otherwise $$a _ { n } = \left( 1 + \frac { 2 } { n } \right) ^ { n }$$

question 15

Multiple Choice

Find the limit of the sequence if it converges; otherwise indicate divergence.
- $$a _ { n } = \left( 1 + \frac { 2 } { n } \right) ^ { n }$$

• A) 1
• B) \(e ^ { 2 }\)
• C) e
• D) Diverges

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Definitions:

C-O Bond

A covalent bond between a carbon atom and an oxygen atom, integral to many organic compounds and carbonates.

C-F Bond

The carbon-fluorine bond (C-F bond) is one of the strongest in organic chemistry, imparting chemical stability and resistance to various compounds.

Electronegativity Difference

The measure of the difference in electronegativity between two bonded atoms, influencing the bond type (ionic, polar covalent, or nonpolar covalent).

Organic Compounds

Chemical compounds that contain carbon and are found in living organisms, often forming the basis of chemistry related to life.