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Determine the Sum of the Series n=0(1)n(2e)n\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 2 } { e } \right) ^ { n }

question 35

Multiple Choice

Determine the sum of the series n=0(1) n(2e) n\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \left( \frac { 2 } { e } \right) ^ { n } .

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Definitions:

Per Capita

A method of distributing an estate where each recipient receives an equal share of the property.

Constructive Trust

An equitable remedy imposed by a court to rectify unjust enrichment or wrongful conduct, transferring property to someone rightfully entitled to it.

Corpus

In law, a term referring to the principal amount of a fund or estate; in linguistics, a collection of written texts used for language research.

Executor

An individual appointed in a will who is responsible for executing the deceased's estate according to the will's directives.

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