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Answer:
-1/2
Step-by-step 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