Forgot password? New user? Sign up
Existing user? Log in
Find the value of ∏k=1∞(1+1tk)\displaystyle\prod_{k=1}^{\infty} \left(1+\dfrac{1}{t_k}\right)k=1∏∞(1+tk1)
Where t1=1t_1=1t1=1 and tn=n(1+tn−1)t_n=n (1+t_{n-1})tn=n(1+tn−1)
Also try limit as a sequence (1) and (3)
Assumptions and Source\textbf{Assumptions and Source}Assumptions and Source
n∈N−{1}n \in \mathbb{N}-\{1\}n∈N−{1}
This too is a standard problem in most calculus textbooks for JEE (Advanced)\text{JEE (Advanced)}JEE (Advanced).
Problem Loading...
Note Loading...
Set Loading...