Graph the Function Corresponding to the Sequence Defined Can Be Used to Estimate the Value Of

question 300

Multiple Choice

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-The series $\ln ( x ) = ( x - 1 ) - \frac { ( x - 1 ) ^ { 2 } } { 2 } + \frac { ( x - 1 ) ^ { 3 } } { 3 } - \ldots + ( - 1 ) ^ { n - 1 } \frac { ( x - 1 ) ^ { n } } { n }$ can be used to estimate the value of $\ln ( \mathrm { a } )$ for any positive real number a such that $0 < \mathrm { a } \leq 2$ . Use the first five terms of this series to estimate $\ln ( 0.86 )$ . Round to the nearest thousandth.

• A) \(- 1.081\)
• B) \(0.739\)
• C) \(- 0.151\)
• D) \(1.409\)

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