What is the sum of the infinite series 1 - (π/2)²(1/3!) + (π/2)⁴(1/5!) - (π/2)⁶(1/7!) + ⋯ + (π/2)(2n)((-1)ⁿ)/((2n+1)!) + ⋯ ?
A) 0
B) π/4
C) 1
D) π/2