Find the value of \[\displaystyle\prod_{k=1}^{\infty} \left(1+\dfrac{1}{t_k}\right)\]
Where \(t_1=1\) and \(t_n=n (1+t_{n-1})\)
Also try limit as a sequence (1) and (3)
\(\textbf{Assumptions and Source}\)
\(n \in \mathbb{N}-\{1\}\)
This too is a standard problem in most calculus textbooks for \(\text{JEE (Advanced)}\).
by
Pratik Shastri
