Question: Need help .. (3) Suppose that f'(x) exists on [a, b] and that f'(x) # 0 on [a, b]. Further, suppose there exists one p

Need help ..

(3) Suppose that f'(x) exists on [a, b] and that f'(x) # 0 on [a, b]. Further, suppose there exists one p E [a, b] such that f (p) - 0, and let po e [a, b] be arbitrary. Let pi be the point at which the tangent line to f at (Po, f(Po) ) crosses the r-axis. For each n > 1. let p,, be the r-intercept of the line tangent to f at (P,-1. f(P.,-)). Derive the formula describing this method. [4P]

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