Find the Interval of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { 3 n + 1 }$

question 280

Multiple Choice

Find the interval of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { 3 n + 1 }$ .

• A) \([ - 3,3 ]\)
• B) \(( - 1,1 )\)
• C) \(( - 3,3 )\)
• D) \([ - 1,1 ]\)
• E) \(( - 1,1 ]\)
• F) \(( - 3,3 ]\)
• G) \([ - 3,3 )\)
• H) \([ - 1,1 )\)

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Definitions:

Simultaneous Pairing

A learning method where two stimuli are presented at the same time to create an association between them.

Extinction

In psychology, the gradual weakening and eventual disappearance of a conditioned response.

Spontaneous Recovery

The reappearance of a previously extinguished response after a period of no exposure to the conditioned stimulus.

Stimulus Discrimination

The learned ability to differentiate between similar stimuli, responding only to the original conditioned stimulus and not to similar ones.