A Product That Fades

6/10LimitscalculussequencesEstimation

Problem

Let

an=101113n+92n1.a_n = \frac{10}{1} \cdot \frac{11}{3} \cdots \frac{n+9}{2n-1}.

Prove that the sequence {an}\{a_n\} has a limit, and find that limit.

Answer

Solution

Difficulty6/10
TopicsLimits, calculus, sequences, Estimation

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