Introductiob to Series

EXERCISE 15 Homework: 1. Show that 0.636363... = 7 11 2. Show that 0.77777... = 9 3. Determine if the series converges or diverges. Find the sum if the series converges. 1 2 k= 2k - 1 2k + 1) 2k + 1 Ans: 1 4. Determine if the series converges or diverges. If converges find its sum. *32k 51-k K=1 Ans: 9/5 5. Show that 0.24242424.. = 24 99 6. Identify the type of series and determine whether it is converges or diverges. Justify your answer. b) 2 5n n=1 n=1 n=1 Ans: a) converges, b) diverges, c) converges 7. Find the sum of the series Ans: -3/2