Use the Ratio Test to examine the two series below, stating: absolute convergence (A), divergence (D), or Ratio Test inconclusive (I).
1) $\sum _ { n = 1 } ^ { \infty } n ^ { - 100 }$
2) $\sum _ { n = 1 } ^ { \infty } 100 ^ { - n }$
A)1A, 2A
B)1A, 2D
C)1A, 2I
D)1D, 2A
E)1D, 2D
F)1D, 2I
G)1I, 2A
H)1I, 2D

Question

Use the Ratio Test to examine the two series below, stating: absolute convergence (A), divergence (D), or Ratio Test inconclusive (I).
1) $\sum _ { n = 1 } ^ { \infty } n ^ { - 100 }$ 
2) $\sum _ { n = 1 } ^ { \infty } 100 ^ { - n }$ 
A)1A, 2A
B)1A, 2D
C)1A, 2I
D)1D, 2A
E)1D, 2D
F)1D, 2I
G)1I, 2A
H)1I, 2D

Quizplus · Accepted Answer

The Answer of Use the Ratio Test to examine the two series below, stating: absolute convergence (A), divergence (D), or Ratio Test inconclusive (I).
1) $\sum _ { n = 1 } ^ { \infty } n ^ { - 100 }$ 
2) $\sum _ { n = 1 } ^ { \infty } 100 ^ { - n }$ 
A)1A, 2A
B)1A, 2D
C)1A, 2I
D)1D, 2A
E)1D, 2D
F)1D, 2I
G)1I, 2A
H)1I, 2D

Use the Ratio Test to Examine the Two Series Below ∑n=1∞n−100\sum _ { n = 1 } ^ { \infty } n ^ { - 100 }∑n=1∞​n−100

Use the Ratio Test to Examine the Two Series Below $\sum _ { n = 1 } ^ { \infty } n ^ { - 100 }$