Question 8:15 points Show that the following statements are true. Big Oh: T(n)=O(f(n)) if there exists constants c>0 and n00 such that 0T(n)cf(n) for all nn0 Find a value of c and n0 that makes the statement definition of Big Oh true. Then show the evaluation of 0T(n)cf(n) for n=n0,n=100, and n=1000. For example, we want to show that n2=O(n!). This is true for c=1 and n0=1. (a) (5 points) 17n12 is O(n). (b) (5 points) nlog2(n)+n is O(nlog2(n) ) (c) (5 points) log2(n!) is O(nlog2(n))