Consider the following sequence: As we progress into this sequence we encounter

Question

Consider the following sequence: As we progress into this sequence we encounter more and more zeroes while 1s get sparser. Prove that this sequence does NOT converge to 0. Hint: try to determine the values of epsilon > 0 for which it possible to find a suitable N N, and those epsilon > 0 for which no such N exists.

Explanation / Answer

Notice that 1 repeats itself after 1,2,3... '0' After some n'th number,1 re-occurs after 'm' zeros. Notice m

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