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natima [27]
3 years ago
14

What is the limit of the infinite series?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

does not exist

Step-by-step explanation:

According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.

Applying the divergence test here:

lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4

This is not 0, so the series does not converge, meaning the sum does not exist.

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