Question: a. Show that if A is any positive number, then the sequence defined by xn = 1/2xn1 + A/2xn1, for n 1, converges toA

a. Show that if A is any positive number, then the sequence defined by
xn = 1/2xn−1 + A/2xn−1, for n ≥ 1,
converges to√A whenever x0 > 0.
b. What happens if x0 < 0?

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