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oksano4ka [1.4K]
3 years ago
10

HELP! Use the ratio test to determine whether the series is convergent or divergent.

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

A

Step-by-step explanation:

aₙ = 5ⁿ/n!

aₙ₊₁/aₙ = [5ⁿ⁺¹/(n+1)!] / [5ⁿ/n!] = 5/(n + 1) tends to zero when n tends to infinity.

zero < 1

so the series is convergent.

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