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Which of the Following Is True for the Infinite Series n=1πn5n3n?\sum _ { n = 1 } ^ { \infty } \frac { \pi ^ { n } 5 n } { 3 ^ { n } } ?

Question 116

Multiple Choice

Which of the following is true for the infinite series n=1πn5n3n?\sum _ { n = 1 } ^ { \infty } \frac { \pi ^ { n } 5 n } { 3 ^ { n } } ?


A) Its sequence of partial sums is bounded from above.
B) Its sequence of partial sums is decreasing.
C) limnπn5n3n=0\lim _ { n \rightarrow \infty } \frac { \pi ^ { n } 5 n } { 3 ^ { n } } = 0
D) It is convergent.
E) It is divergent.

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