The Maclaurin series for the arctangent function converges for −1 < x ≤ 1 and is given by
- a. Use the fact that tan π/4 = 1 to determine the number of n terms of the series that need to be summed to ensure that |4Pn(1) − π| < 10−3.
- b. The C++ programming language requires the value of π to be within 10−10. How many terms of the series would we need to sum to obtain this degree of accuracy?
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Numerical Analysis
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