Find the Sum of the Series $$1 + 2 + \frac { 4 } { 2 ! } + \frac { 8 } { 3 ! } + \frac { 3 } { 4 ! } + \ldots$$

question 260

Multiple Choice

Find the sum of the series.
- $$1 + 2 + \frac { 4 } { 2 ! } + \frac { 8 } { 3 ! } + \frac { 3 } { 4 ! } + \ldots$$

• A) \(\sin \frac { 1 } { 2 }\)
• B) \(\ln 3\)
• C) \(\mathrm { e } ^ { - 2 }\)
• D) \(\mathrm { e } ^ { 2 }\)

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Definitions:

Inborn Response

Natural or instinctive reactions that individuals are born with, such as reflexes, not acquired through learning.

Temperament

A person's or animal's nature, especially as it permanently affects their behavior, reflecting in emotional reactivity and intensity.

Style of Reaction

The individual manner in which a person responds to stimuli or situations, often linked to temperament or personality.

Inherent Responding

The natural or instinctive reactions and responses that are built-in or innate to an organism, not learned through experience.