Show that the set of functions from the positive integers to the set [0,1,2,3,4,5,6,7,8,9} is uncountable. | Hint: First set up a one-to-one correspondence between the set of real numbers between 0 and 1 and a subset of these functions. Do this by associating to the real number 0 . d1 d2… dn… the function f with .f(n)=dn]
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Show that the set of functions from the positive integers to the set [0,1,2,3,4,5,6,7,8,9} is uncountable. | Hint: First set up a one-to-one correspondence between the set of real numbers
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