Find the Taylor Series for the Given Function at the Indicated

question 14

Multiple Choice

Find the Taylor series for the given function at the indicated point $x = a \text {. }$ $f ( x ) = \ln ( 5 x ) ; a = \frac { 1 } { 5 }$

• A) \(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n + 1 } 5 ^ { n } } { n } \left( x - \frac { 1 } { 5 } \right) ^ { n }\)
• B) \(\sum _ { n = 1 } ^ { \infty } \frac { 5 ^ { n } } { n } \left( x - \frac { 1 } { 5 } \right) ^ { n }\)
• C) \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n 5 ^ { n } } \left( x - \frac { 1 } { 5 } \right) ^ { n }\)
• D) \(\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n + 1 } } { n 5 ^ { n } } \left( x - \frac { 1 } { 5 } \right) ^ { n }\)

Recognize the role of chordate features in the adaptive evolution of various groups.

Explain the significance of the notochord and other chordate features in the phylogeny of the group.

Identify adaptations to terrestrial life in vertebrates.

Understand the evolutionary relationships and characteristics of early jawed and jawless fishes.

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