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

question 300

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Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-The series ln(x) =(x1) (x1) 22+(x1) 33+(1) n1(x1) nn\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(a) \ln ( \mathrm { a } ) for any positive real number a such that 0<a20 < \mathrm { a } \leq 2 . Use the first five terms of this series to estimate ln(0.86) \ln ( 0.86 ) . Round to the nearest thousandth.


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