a) [4 points] Prove the following using limits and LHpitals Rule: That nlgn is (knlg(kn)) for any constant k > 0.

b) [4 points] Prove the following using limits and LHpitals Rule: That 6n2 + 20n is (n + 5).

1) [8 points total] a) [4 points] Prove the following using limits and L'Hpital's Rule. That nign is (knig(kn)) for any constant k > 0. b) [4 points] Prove the following using limits and L'Hpital's Rule: That 6n2 +20n is (n+ 5)