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Tell Which of the Following Three Series Cannot Be Found n=112+3n\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 + 3 ^ { n } }

Question 179

Multiple Choice

Tell which of the following three series cannot be found convergent by the Ratio Test but can be found convergent by comparison with a p-series.
1) n=112+3n\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 + 3 ^ { n } }
2) n=1nn3+4\sum _ { n = 1 } ^ { \infty } \frac { n } { n ^ { 3 } + 4 }
3) n=1nn2+n\sum _ { n = 1 } ^ { \infty } \frac { \sqrt { n } } { n ^ { 2 } + n }


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

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