EC-GATE 2022 Q46: Series Convergence of ∑ n^d c^n for Given c, d Values

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EC > GATE 2022 > Series and Sequences

Consider the following series:
∑_n=1^∞ n^dcⁿ
For which of the following combinations of c, d values does this series converge?

c = 1, d = −1

c = 2, d = 1

c = 0.5, d = −10

c = 1, d = −2

Correct : c

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