Unformatted text preview: ( p, p n ) < p np, So { p n } is a strictly decreasing sequence which is bounded below, hence using the monotonic sequence theorem it must converge. • In the homework we showed that the equation x 3 + x + 1 = 0 has one and only one real root, p , and that it lies between1 and 0. Use the following methods to ﬁnd p correct to three decimal places. – The Regula Falsi method – A ﬁxed point method MATH2051 Tutorial 1 20101014...
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 Fall '11
 Dr.A.Wacher
 Numerical Analysis, pn, strictly decreasing sequence

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