Find a Power Series Representation For $f ( t ) = \ln ( 14 - t )$

question 26

Multiple Choice

Find a power series representation for $f ( t ) = \ln ( 14 - t )$

• A)\(\ln 14 - \sum _ { n = 1 } ^ { \infty } \frac { t ^ { n } } { 14 ^ { n } }\)
• B)\(\ln 14 - \sum _ { n = 1 } ^ { \infty } \frac { t ^ { n } } { n 14 ^ { n } }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { t ^ { n } } { n 14 ^ { n } }\)
• D) \(\sum _ { n = 1 } ^ { \infty } \frac { 14 t ^ { n } } { n ^ { n } }\)
• E) \(\ln 14 + \sum _ { n = 1 } ^ { \infty } \frac { t ^ { 2 n } } { 14 ^ { n } }\)

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Definitions:

Periodic In Vivo

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Activities or exercises designed to reduce stress and induce a state of calmness, such as deep breathing, meditation, or yoga.

Acceptance And Commitment Therapy

is a form of psychotherapy that uses acceptance and mindfulness strategies, together with commitment and behavior change strategies, to increase psychological flexibility.

Systematic Desensitization

A behavioral technique used to help individuals overcome phobias and anxiety disorders through gradual exposure to the feared object or situation paired with relaxation exercises.