Prove the following:

e 0.0001 logn) O(1). g) max(fn), g(n)} Oun) + g(n)), wherefn) and g(n) are positive h) minUn), g(n)} = (n) + g(n)), where/(n) and g(n) are positive + 0(1) [9,000,000 terms) = 0(1). 0(1) + 0(1) + functions. functions