# 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 $$a+b$$.