Do you even telescope? - 2

Calculus Level 3

\[\frac{2!+1!}{2!-1!}\times \frac{4!+3!}{4!-3!}\times \frac{6!+5!}{6!-5!}\times \cdots \]

Find the value of the product above.

Notation:
\(!\) denotes the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).

Hint: Try to express the product using product notation.


Inspiration.

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