Decide if each of the following statements is true or false and give a proof. You need to identify the values for the constants c and n ₀ as used in the definitions of big ? ?, ? and ?.

is O(n) (n log n) a) log((n-2)(n+3)) b) log((n-2)(n+3)) is (n log n) c) (n+ log(n)) (n+8) is O(n) (n+ log(n)) (n+8) is n+2n+3n+4n+...+ (n)n is O(n) n+2n+3n+4n+...+ (n)n is (n) g) 50n +0.001n is O(n^) h) 50n +0.001n is (n) d) e) f)