The Series $\sum _ { n = 0 } ^ { \infty } r ^ { n }$

question 180

Multiple Choice

The series $\sum _ { n = 0 } ^ { \infty } r ^ { n }$ converges if and only if

• A) \(- 1 \leq r \leq 1\)
• B) \(- 1 \leq r < 1\)
• C) \(r \leq - 1\)
• D) \(r \geq 1\)
• E) \(- 1 < r < 1 < 1\)
• F) \(- 1 < r \leq 1\)
• G) \(r < 1\)
• H) \(r > 1\)