Consider the function f (x) = e6x+3(ln 2)2e2x(ln 8)e4x(ln 2)3. Use Newtons method with

Chapter 2, Problem 2

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Consider the function f (x) = e6x+3(ln 2)2e2x(ln 8)e4x(ln 2)3. Use Newtons method with p0 = 0 to approximate a zero of f . Generate terms until | pn+1 pn| < 0.0002. Construct the sequence { pn}. Is the convergence improved?

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