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Show that the following series is convergent. How many terms of the series do we need to add in order to find the sum to the accuracy of (|error| < .00005) for the following? Give the approximation of this series using a partial sum with the number of terms you believe will give an error less than .00005. Write out the expansion of the partial sum estimate and then use your calculator to estimate the sum.
[infinity] ∑ (-1/n)ⁿ n=1
Sagot :
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