Catalan Ratio

Calculus Level 3

Let C n C_n denote the n th n^\text{th} Catalan number . Find lim ⁡ n → ∞ C n + 1 C n \displaystyle \lim_{n\to\infty} \dfrac{C_{n+1}}{C_n} .


The answer is 4.

J Joseph by J Joseph , 23, USA

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1 solution

Kyle Gray
Jan 3, 2017

if you look at the catalan numbers it kinda looks like they are 4x the previous number the further it goes in the series so the answer is 4.

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