Think About It  Consider the function f(x) = x − cos x.(a) Use a graphing utility to graph...

Think About It  Consider the function f(x) = x − cos x.

(a) Use a graphing utility to graph the function and verify that there exists a zero between 0 and 1. Use the graph to approximate the zero.

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(b) Starting with x0 = 1, generate a sequence x1, x2, x3, …, where xn = cos(xn−1). For example,

What value does the sequence approach?