Given that
Arctan (1/n) - Arctan (1/(n+1)) = Arctan (1/((1+n(n+1))
Find
Sum from i = 1 to n:
Arctan (1/((1+i(i+1))
I have split the question into finding the sum of Arctan (1/n) and Arctan (1/(n+1)), and i'm pretty sure this is the correct approach, but I'm not sure where to go from here
Thanks a lot