5. Does the following series converge or diverge? ne-n n=1 Justify your answer. 6. Does the following series converge or diverge? E ( 1+ 1)" n=1 Justify your answer. 7. (extra credit, 5 points) (a) Using a geometric series (and no other tricks), find a fraction that has the exact decimal expansion 0.13. Verify your answer on a calculator. (b) Using a geometric series (and no other tricks), find a fraction that has the exact decimal expansion 0.90210. Verify your answer on a calculator