Determine whether each of the following infinite series converges or diverges. Explain each answer briefly. If the series converges, calculate its exact sum. Homework Help ✎
What is 1 + 1 + 1 + 1 + ... ?
This is a geometric sequence with a ratio of 3/4.
This is also a geometric sequence. What is the ratio? (See part (b).)
This can be written as a telescoping sum: