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28-02-2022
Mathematics

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

HELP Use the ratio test to determine whether the series is convergent or divergent class=

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zsm2800 zsm2800

28-02-2022

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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