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