Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. 
Definitions:
Achievement Motivation
An individual's drive to accomplish tasks, meet standards of excellence, and strive for success.
McClelland's Model
A theory of motivation that emphasizes the importance of three needs: achievement, power, and affiliation.
Thematic Apperception Test
A psychological assessment tool where individuals express their thoughts and feelings through stories they create about ambiguous images.
High Achievers
Individuals who consistently perform at a high level and excel in their respective areas of activity or expertise.
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