4. (a) Determine whether the geometric series 0.12+0.0012+0.000012 + . - is convergent or divergent, and if it is convergent find its sum. (b) Using only part (a), express the number 0.121212 - -- (i.e. the digit grouping 12 is recurring) as a ratio of integers.

Q: 1. Give an example of a series such that > an converges but > an| diverges.

A: To give an example for: ∑an converges but ∑ an diverges.

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