If lim an = 1. Where a> 0 vn, then \(lim_{n \to \infty} \rm \left(a_1 a_2 \ldots \ldots a_n\right)^{\frac{1}{n}}=1\).The above theorem is known-

1
Cauchy's first theorem on limit 
2
Cauchy's second theorem on limit
3
Maclaurin theorem
4
Leibniz's theorem

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