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Which of the Three Series Below Converges?
1) ∑n=1∞(2n−13n)n\sum _ { n = 1 } ^ { \infty } \left( \frac { 2 n - 1 } { 3 n } \right) ^ { n }

Question 256

Multiple Choice

Which of the three series below converges?
1) ∑n=1∞(2n−13n) n\sum _ { n = 1 } ^ { \infty } \left( \frac { 2 n - 1 } { 3 n } \right) ^ { n }
2) ∑n=1∞12n+n\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 ^ { n } + n }
3) ∑n=1∞2n+(−3) n3n\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 3 ) ^ { n } } { 3 ^ { n } }


A) None
B) 1
C) 2
D) 3
E) 1, 2
F) 1, 3
G) 2, 3
H) 1, 2, 3

Correct Answer:

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