Euler's Constant - need to submit in an hour, please help with questions 2-4

Consider the harmonic series and its partial sums Show both quantities on the same picture. 2. Now, dene a new sequence Gn = Snnl lnn. Show this sequence on the same picture as Question 1 or on a new picture, and deduce that for all n 2 1, Gn 2 0. Then show, still using the picture, that (On) is an increasing sequence. 3. Still using the picture of the previous question, argue that 711 1 1 Z k: k + 1 4. Use a theorem seen in class to conclude that the sequence (GR) is convergent. Its limit is called Euler's constant, denoted by 'y, and whose value is A, m 0.577