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Simple, simple question concerning errors needing quick answer

  1. Dec 7, 2005 #1

    T7

    User Avatar

    Hi,

    This is a v. simple Q, but I have a mental block today (!).

    The question is: What size must z be in the function f(z) to output the value of the integral I with an error of 0.1? What about an error of 0.01? Or 0.001?

    I calculate I to be 0.6666666... recurring.

    Now

    f(3) = 0.8148148147
    f(4) = 0.7500000000
    f(5) = 0.72000000
    f(7) = 0.693875508
    f(8) = 0.687500000
    f(9) = 0.6831275719
    f(10) = 0.6800000000

    etc.

    By a 0.1 error, does it mean that the value of f(x) must fall within I ± 0.1? ie no more than (0.66666.... + 0.1 =) 0.76666666... and no less than (0.66666... - 0.1 =) 0.5666666 ? ie. z=4 satisfies the requirement (?)

    Cheers.
     
  2. jcsd
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