Hi,

need some help with this problem

a. Show that, whatever is the whole number, k is superior or equal to 2;

1/k^2 is less than or equal to 1/ k-1 - 1/ K

Have done this and think I have the answer but part 2 and 3 are complicated

b. Use this result to show the inequality

n 1

€ ----- is less than or equal to

k=2 K^2

n

c. Show that (Un) which is defined by Un=€ .1...

k=2 K^2 is convergent

Thanks in advance for any hints to proceed...