we say {Xn} converges in sense C or C-sense converges if {a} s convergent

strictly and be denoted C-lim Xn.

1) Show that {exp(2*pi*i*k/K) : k ∈ N} is C-convergent or convergent in

average.

2) Show that {∑exp(2*pi*i*k/K) : n ∈ N} is C-convergent or con-

vergent in average.