17. The function can be approximated by the series 1 f(x) = 1 = 7 f(x)...

  

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17. The function can be approximated by the series 1 f(x) = 1 = 7 f(x) 1 + x + x + x + x +...+xn as long as x < 1. We would like to explore how many terms are needed to make the difference between f(x) and this series approximation smaller than some given tolerance. and for example, for an error of 1 x 10-1 and x = 0 only one term from the series is needed, while for x = 1/ + A- 1 || 2 1+ 1 + + = 1.9375 22 23 24 so n = 5 terms is enough for an error of 1 x 10-1 and x = 11/201 Write un function int NumberOfTerms (double x, double precision) that takes as arguments a value x less than 1 in magnitude compare the series to the exact function and determine the minimum number of terms needed to make their difference less than a specified precision [16] 17. The function can be approximated by the series 1 f(x) = 1 = 7 f(x) 1 + x + x + x + x +...+xn as long as x < 1. We would like to explore how many terms are needed to make the difference between f(x) and this series approximation smaller than some given tolerance. and for example, for an error of 1 x 10-1 and x = 0 only one term from the series is needed, while for x = 1/ + A- 1 || 2 1+ 1 + + = 1.9375 22 23 24 so n = 5 terms is enough for an error of 1 x 10-1 and x = 11/201 Write un function int NumberOfTerms (double x, double precision) that takes as arguments a value x less than 1 in magnitude compare the series to the exact function and determine the minimum number of terms needed to make their difference less than a specified precision [16]