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11-10-2020
Mathematics

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How do you do this question?

How do you do this question class=

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MathPhys MathPhys

11-10-2020

Step-by-step explanation:

aₙ = ⁿ√(3⁸⁺³ⁿ)

aₙ = (3⁸⁺³ⁿ)^(¹/ₙ)

aₙ = 3^(8/n + 3)

aₙ = 3^(8/n) 3^3

aₙ = 27 · 3^(8/n)

lim(n→∞) aₙ

lim(n→∞) 27 · 3^(8/n)

27 · 3^(8/∞)

27 · 3⁰

27

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