111. Newton's method The following sequences come from the recursion formula for Newton's method, f(x,) Xn+1 = Xp f'(x„)" Do the sequences converge? If so, to what value? In each case, begin by identifying the function ƒ that generates the sequence. Xл a. xo = 1, Xn+1 = Xn 2.x,, tan x, b. Хо — 1, х,+1 — Хд sec? xn c. Xo = 1, Xp+1 = Xn - 1

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A:

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A: The given sequences are,(a) (b) (c) To check the convergence of the sequence and find its limit.

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A:

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A: Topic:- application of derivatives

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A:

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A: We will find the value of f(2) by substituting value of x=2 in  suitable f(x) as shown below

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A: Explanation of the answer is as follows

Q: use the definition of L{} to determine {te¹t}.

A: To determine L{te4t}

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Q: 2. (a) Write the first 5 terms of the sequences with general terms an below and indicate whether…

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A: Given an = 1 + sin(n)n, if n is prime2n+12n, if n is not prime

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A: 17. I. is true.

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A:

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A: We will find the limit