Module 2 Written Assignment Exercise A: Consider the diagram shown, where each figure is a right triangle formed by one

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Module 2 Written Assignment Exercise A Consider The Diagram Shown Where Each Figure Is A Right Triangle Formed By One 1 (61.58 KiB) Viewed 37 times

Module 2 Written Assignment Exercise A: Consider the diagram shown, where each figure is a right triangle formed by one leg of length 1 and the other leg is formed by the hypotenuse of the previous figure. Consider the angles 01, 02, 03, 04,... in radians. 1. Find the unlabeled hypotenuse sides, then find exact values of the angles 01, 02, 03, 04. Use this to come up with a formula for 0. 1 0₁ n=1 2. Consider the series 0₁ +0₂ +0+0+...=) Σe. Use the Limit Comparison Test to determine n=1 whether converges or diverges. Justify your conclusion as specifically as possible. 1 1 3. How many iterations, n, are needed so that the figures begin to overlap the original right-triangle with angle 0,? Show your work and/or state how technology is used. (Recall 0,, is in radians.)