First, consider the following infinite collection of real numbers. Describe how these numbers are constructed, then, using Cantor’s diagonalization…

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First, consider the following infinite collection of real numbers. Describe how these numbers are constructed, then, using Cantor’s diagonalization argument, find a number not on the list. Justify your answer. 

0.123456789101112131415161718…

0.2468101214161820222426283032…

0.369121518212427303336394245…

0.4812162024283236404448525660…

0.510152025303540455055606570…

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First, consider the following infinite collection of real numbers. Describe how these numbers are constructed, then, using Cantor’s diagonalization…

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