1. Let f(n) = 313, if n = 0 n + 313 + 2(log n) 10 (log n) 6 + 3(log n) 2 + 4, if n is even and n > 0 3 log(n + 1) + p log(n 1)5 + 2(log n) 2 , if n is odd (1) Indicate whether each of the following statements is true or false.

1. Let 313, if n = 0 f(n) = {vn +313 + 2(log n)10 (log n)6 + 3(log n)2 +4, if n is even and n > 0 if n is odd (3 log(n+1) + Vlog(n 1)5 + 2(log n)?, (1) Indicate whether each of the following statements is true or false. (a) f(n) = 0(2") (b) f(n) = N(2) (c) f(n) = O(n)