If ( c(x) = ∑_n=0[infinity] 2n+1/2n+2 x²ⁿ ) and ( s(x) = ∑_n=0[infinity] 2n+2/2n+3 x²ⁿ⁺¹ ), find the power series of ( c(x) - s(x) ).
a) ( ∑_n=0[infinity] 2n+1/2n+3 x²ⁿ )
b) ( ∑_n=0[infinity] 2n-1/2n+3 x²ⁿ )
c) ( ∑_n=0[infinity] 2n+1/2n+2 x²ⁿ⁺¹ )
d) ( ∑_n=0[infinity] 2n-1/2n+2 x²ⁿ⁺¹ )