Grade 12th passAlgebra
Limit n tends to infinity product r=3 to n(r^3-8)/(r^3+8)
Limit n tends to infinity product r=3 to n(r^3-8)/(r^3+8)
1 Answer
Aditya Gupta
(r^3-8)/(r^3+8)= (r-2)(r^2+2r+4)/(r+2)(r^2 – 2r+4)
=2/7*(n^2+3)((n+1)^2+3)/(n+2)(n+1)n(n-1)
so limit n tends to infinity product r=3 to n(r^3-8)/(r^3+8)= 2/7
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