*********PLEASE SHOW THE STEPS AND EXPLAIN WHY IT IS TRUE OR FALSE****************8

Thank you

1. [5 pts] In the following problems, a,b and c are positive constants, lnn stands for the natural logarithm of n. a) True or false: If f(n)=an+bn0.5, then f(n)=O(n). b) True or false: If f(n)=an2+bn+c, then f(n)=O(n2). c) True or false: If f(n)=anb, then f(n)=(lnn). d) Let f(n)=i=1ni1, give a Big- notation for f(n) (i.e. find some function g(n) such that f (n)=(g(n))). e) Let f(n)=i=1ni2, give a Big- notation for f(n)