(a) Is it true that a large value of n can be found such that:

Sn = 1 + 1 2 + 1 3 + 1 4 + ... + 1 n > 100?

(b) By considering the area under the graph of y = ¹/_x between

x =

1 n-1

and x = ¹/_n show that this series grows like logn.