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  1. Determine whether each of the infinite series converges or diverges. Explain each answer briefly. If the series converges, find 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: