1. Show that for any real constants a and b, where b>0, (n +a)b 2. Show that Ign!=0(n lg n) 3. Determine whether each statement is true or false. Justify your answer a) nn=0 (2n) b) If f(n) = 0(g(n)), then g (n) = (f(n)) c) 2n+1=0(2n) show that 7n-2 is (n) 5. Is 22m 0(2T)? If true, show it, otherwise, show why not show that 7n-2 is (n) 7. Show that 2n't 2n + 3 = 0 (n2) 8. Show that 3n2 + 15n-4 = o (n*) 9. Show that 2n3-4n2 + n = (n2) 10. Express the function 000- 100n2 - 100n+ 3 in terms of e-notations