Question

Applying L'Hospital's rule is not allowed

Answer 1

-1/2

Explanation:

lim x-> π/2 cos x /(2x-π) =

lim (x-π/2)->0 sin (π/2 - x) /2(x-π/2) =

lim (x-π/2)->0 - sin (x - π/2)/2(x-π/2) = -1/2