Sine of a product

Calculus Level 5

\[ \sin \left( \displaystyle \prod_{n=1}^{\infty} \left[ \dfrac{(2n)^2}{(2n-1)(2n+1)}\right] \right) = \mathfrak{K} \]

Find \( \left \lfloor 10^3 \mathfrak{K} \right \rfloor \).

Details and assumptions:

  • The argument of sine is given in radians.
×

Problem Loading...

Note Loading...

Set Loading...