Suppose that x 0 = 2/3, y 0 = 3, and y n = x n y
Question:
Suppose that x0 = 2\/3, y0 = 3,
and yn = √xnyn–1 for n e N.
a) Prove that xn ↓ x and yn ↑ y, as n → ∞, for some x, y ∊ R.
b) Prove that x = y and 3.14155 < x < 3.14161.
(The actual value of x is π.)
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