How to find the limit ? Chinese Math Competition Question | Interesting calculus question

How to find the limit of the sum of n fractions? We use basic algebraic tricks to simplify the question and then use a special method to derive this limit in calculus.

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Math Competition Question
Chinese Math Competition Question
How to find the limit?
How to find the limit of the sum of n fraction?
Calculus
limit
AP Calculus
Sandwich Theory

[ereqnwe]

It should be 1/3. It's between that all denominators are n^3+n^2 and that all denominators are n^3+1. They both have the same limit 1/3.