The sequence of values given by the iterative formula with initial value x 1 = 1, converges

Question:

The sequence of values given by the iterative formulawith initial value x1 = 1, converges to α.

a. Use this formula to find α correct to 2 decimal places, showing the result of each iteration to 4 decimal places.

b. Show that α also satisfies the equation tan x − 2x = 0 where 1 ≤ x < π/2.

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