2 (3c1) 1 (i) 1 (i) Consider the numbers defined below, in which the dot indicates a decimal point, and the string in parentheses is the repeating part of a repeating decimal. x :=. (bc) Show computations on pages that follow, numbered according to instructions, and record answers on this side. Find a recursive definition for the digits of x after the decimal point, with the recursion starting at n = 0 and prove inductively that the definition is correct. Prove that: Rtl(x), that is, x is rational.

2 (3c1) 1 (i) 1 (i) Consider the numbers defined below, in which the dot indicates a decimal point, and the string in parentheses is the repeating part of a repeating decimal. x :=. (bc) Show computations on pages that follow, numbered according to instructions, and record answers on this side. Find a recursive definition for the digits of x after the decimal point, with the recursion starting at n = 0 and prove inductively that the definition is correct. Prove that: Rtl(x), that is, x is rational.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please read the question and leave notes on the answer where appropriate. Please DO NOT skip any steps. Please double check your answer. DO NOT SUBMIT A TYPED RESPONSE. Please use a hand written response that is LEGABLE. Please review your answer to make sure all steps are clearly visible. Please double check your work. Thank you. Show all your work and please make sure to Justify your answers. I am having trouble finding this answer. Please double check your steps and do not submit a typed response that is not in LATEX.
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