Let an = 6n3n + 1.(a)Determine whether {an} is convergent.convergentdivergent    (b)Determine whether ∞n = 1an is convergent.convergentdivergent

Question

Let an = 6n3n + 1.(a)Determine whether {an} is convergent.convergentdivergent    (b)Determine whether ∞n = 1an is convergent.convergentdivergent
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Solution 1

(a) To determine whether the sequence {an} = 6n3^n + 1 is convergent or divergent, we need to examine the limit as n approaches infinity.

The limit of a sequence {an} as n approaches infinity is the value that the terms of the sequence get arbitrarily close to as n gets larger and larger. If such Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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