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(4t6) 46+62 2+46-160 9. 16 4. Consider the following infinite collection of real numbers between 0 and 1. 4676 6= -2+ 2 V5,-2-215 0:1212212221222212222212 : :: 0:0202030405060708091011 ::: 0:2337111317192329313741 0:3574111315171921232527 0:2468501214161820222426 : : : 0:5000060000000000000000 : :: 0:3333337333333333333333 : :: 0:1248163864128256512102 : :: 62 0: 2,3, 4,f,6,7,8 2.47 もこ- = Use only the digits 1 and 3 to create a number, between 0 and 1, with an infinitely long decimal expansion that is NOT on the list. Notice that the list goes "on and on". Explicitly describe vour tochnique for creating the new number and explain how you know your number will never appear on the list.

(4t6) 46+62 2+46-160 9. 16 4. Consider the following infinite collection of real numbers between 0 and 1. 4676 6= -2+ 2 V5,-2-215 0:1212212221222212222212 : :: 0:0202030405060708091011 ::: 0:2337111317192329313741 0:3574111315171921232527 0:2468501214161820222426 : : : 0:5000060000000000000000 : :: 0:3333337333333333333333 : :: 0:1248163864128256512102 : :: 62 0: 2,3, 4,f,6,7,8 2.47 もこ- = Use only the digits 1 and 3 to create a number, between 0 and 1, with an infinitely long decimal expansion that is NOT on the list. Notice that the list goes "on and on". Explicitly describe vour tochnique for creating the new number and explain how you know your number will never appear on the list.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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From the book: heart of mathematics 4th edition.

(4t6) 46+62 2+46-160 9. 16 4. Consider the following infinite collection of real numbers between 0 and 1. 4676 6= -2+ 2 V5,-2-215 0:1212212221222212222212 : :: 0:0202030405060708091011 ::: 0:2337111317192329313741 0:3574111315171921232527 0:2468501214161820222426 : : : 0:5000060000000000000000 : :: 0:3333337333333333333333 : :: 0:1248163864128256512102 : :: 62 0: 2,3, 4,f,6,7,8 2.47 もこ- = Use only the digits 1 and 3 to create a number, between 0 and 1, with an infinitely long decimal expansion that is NOT on the list. Notice that the list goes "on and on". Explicitly describe vour tochnique for creating the new number and explain how you know your number will never appear on the list.
Transcribed Image Text:(4t6) 46+62 2+46-160 9. 16 4. Consider the following infinite collection of real numbers between 0 and 1. 4676 6= -2+ 2 V5,-2-215 0:1212212221222212222212 : :: 0:0202030405060708091011 ::: 0:2337111317192329313741 0:3574111315171921232527 0:2468501214161820222426 : : : 0:5000060000000000000000 : :: 0:3333337333333333333333 : :: 0:1248163864128256512102 : :: 62 0: 2,3, 4,f,6,7,8 2.47 もこ- = Use only the digits 1 and 3 to create a number, between 0 and 1, with an infinitely long decimal expansion that is NOT on the list. Notice that the list goes "on and on". Explicitly describe vour tochnique for creating the new number and explain how you know your number will never appear on the list.
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