## find, with proof, the cardinalitis ofthe following sets

a) the set [N]^w of infinite subsets of N

N= natural number, w= sigma

b) the set [R]^c of subsets A within R where |A| = c

R = real number

c) the set C^(infinity) of smoot function f: R -> R.

C^(infinity) is C to the power of infinity