(where represents the greatest integer function) is equal to

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

\lim_{x \rightarrow 1} \left[ \text{cosec} \frac{\pi x}{2} \right]^{1/(1-x)}

(where

[\cdot]

represents the greatest integer function) is equal to (a) 0 (b) 1 (c)

\infty

(d) does not exist