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.
Transcribed Image Text:
Xn+1 = x₁(1+ sec² xn) - tan Xn sec² x₁ - 1
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ANSWER a To find we can start with x1 1 and iteratively apply the formula until the values ...View the full answer
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Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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