Producting Limits...

Calculus Level 4

Evaluate \[ \lim _{ n\rightarrow \infty } \prod _{ r=3 }^{ n }{ \frac { { r }^{ 3 }-8 }{ { r }^{ 3 }+8 } } \]

Here \(\prod { } \) represents product of function.

The answer is in the form \(\frac{a}{b}\), express it in the form of \(a+b\).

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