# Derive D Derivative

Calculus Level pending

If $\forall n \in N$ and n>1 ,find the value of $\lim_{n \to \frac{\pi}{2}} \lfloor \frac{2(sinx-sin^{n}x)+|sinx-sin^{n}x|}{2(sinx-sin^{n}x)-|sinx-sin^{n}x|} \rfloor$ where $\lfloor . \rfloor$ denotes the greatest integer function.

×