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    Using a Summation Series to Estimate a Quantity

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    Say the only tool given to you is a calculator which performs addition, subtraction, multiplication, and division.

    Let X= Summation (k=1 -->n) e^-(k/n)^2 with N^20

    Explain a practical way of computing X within an error of 10^8. Roughly how big is X?

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    https://brainmass.com/math/real-analysis/summation-series-estimate-quantity-31530

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    Say the only tool given to you is a calculator which performs addition, subtraction, multiplication, and division.

    Let , N = 1020.

    Explain a practical way of computing X within an error of 10^8. Roughly how big is X?

    Solution:
    We will start by remembering one of the definitions of Riemann integral, when the integration interval is (0, 1) and this is covered by an uniform division:
    ( 1)
    If we consider now
    ( 2)
    we will have
    ( 3)
    Thus, for N = big enough, we can state the evaluation:
    ...

    Solution Summary

    A Summation Series is used to Estimate a Quantity. The solution is detailed and well presented.

    $2.19

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