Okay, where does it end?
Algebra
Level
4
\[ \large\displaystyle Y= \left[ \left(1+\frac{1}{n}\right) \left(1+\frac{2}{n}\right) \left(1+\frac{3}{n}\right) \cdots \left(1+\frac{n}{n}\right) \right]^{\frac{1}{n}}\]
Find the value of \(\lceil Y \rceil\), where \(n\) is a positive integer.
Submit your answer as 123 if you think that the answer depends on the value of \(n\)
\[ \]
Notation: \( \lceil \cdot \rceil \) denotes the ceiling function.
This problem is a part of the set All-Zebra
by
Abhay Tiwari