a
posted by
maam
.
lim (xpi/2) (pi2x)^cosx

a 
Reiny
if x > π/2 , then cosπ/2 > 0
anything^0 = 1
so lim (π  2x)^cosx , as x>π/2
= 1

a 
Steve
However, pi2x>0 as well, and 0^0 is undefined
Haven't figured out yet the proof. L'Hospital's Rule seems not to help much, taking logs.