Evaluate e^-6 with the two forms of series expansion shown, compare them to the true value of 2.478752177 x10^-3. use 5 terms to evaluate each series and compute the approximate and true relative errors
Evaluate e^-6 with the two forms of series expansion shown, compare them to the true value of 2.478752177 x10^-3.
use 5 terms to evaluate each series and compute the approximate and true relative errors
What is Error:
Error is the difference between a genuine value and an estimate, or approximate, representation of that value in practical mathematics. The discrepancy between the mean of the complete population and the mean of a sample taken from that population is a frequent example in statistics. When an infinite series is ignored for all but a small number of terms, a truncation error occurs.
To Determine:
We determine the value of using two different infinite series taking first term. Then, we determine the approximate and true relative error by comparing the approximate values with true value of given as .
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