For the statements below, prove or disprove them.

k) 1) m) n) o) O(n) + n(n)= 2(log n). n+ 2(n)=2(n). If f(n) = O(n), then 2f(n) = O(2"), where f(n) is a positive function. n2 = o(0.01n2.2). 2log1000N = o(log2n)