The series $\sum _ { n = 0 } ^ { \infty } r ^ { n }$ converges if and only if A) $- 1 \leq r \leq 1$ B) $- 1 \leq r

Question

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) $r > 1$

Quizplus · Accepted Answer

The Answer of 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) $r > 1$

The Series ∑n=0∞rn\sum _ { n = 0 } ^ { \infty } r ^ { n }∑n=0∞​rn

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