# Is the sequence divergent or convergent?

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#lim n→∞ [(6n^3 + sin(11n)^2)/(n^2 +10)]#

See below.

and

and

hence

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To determine if a sequence is divergent or convergent, we need to examine its behavior as the number of terms approaches infinity. If the terms of the sequence approach a specific value, the sequence is convergent. If the terms of the sequence do not approach a specific value and instead grow indefinitely, the sequence is divergent. Without the specific sequence provided, it is not possible to determine if it is divergent or convergent. Can you please provide the sequence in question?

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