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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) $r > 1$

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