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

question 35

Multiple Choice

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

• A) \(\frac { 2 } { \mathrm { e } }\)
• B) \(\frac { \mathrm { e } } { \mathrm { e } + 2 }\)
• C) 1 - \(\frac { 2 } { \mathrm { e } }\)
• D) none of these

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Definitions:

Two-Tail

Refers to a type of hypothesis test that considers both directions of difference or effect, looking for deviations in two opposite directions.

Level Of Significance

The probability threshold below which a result is considered statistically significant.

Nonparametric Tests

Statistical tests that do not assume a specific distribution for the data, often used when parametric test assumptions cannot be satisfied.

Probability Distributions

Descriptions or functions that outline all the possible values and likelihoods that a random variable can take within a given range.