Let {nl, n2, ...} denote the collection of natural numbers that do not use the digit 6

Chapter 9, Problem 16

(choose chapter or problem)

Let {nl, n2, ...} denote the collection of natural numbers that do not use the digit 6 in theirdecimal expansion. Show that L 1Ink converges to a number less than 80. If {mI' m2, . . .} isthe collection of numbers that end in 6, then L I/mk diverges. If {PI' P2' ... , } is the collectionof numbers that do not end in 6, then L II Pk diverges.

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