- #1

musicgold

- 288

- 13

- Homework Statement:
- I need to prove the equation below. What scares me is the fact that the LHS and RHS have different summation indices.

- Relevant Equations:
- See below

To analyze the LHS of this equation, I used (k-1) , k and (K+1) to get

## \frac {(-1)^{k-1} } { (k-1)} \ . \frac {(-1)^k} { (k)} \ . \frac {(-1)^{k+1} } { (k+1)} \ ##

Nothing cancels out in these terms and the sign of each term is the opposite of the previous term.

I calculated the LHS for a k = 1, 2, 3, 4, 5, 6 . The sum is = 1 -1/2 + 1/3 -1/4 + 1/5 -1/6. It looks like an oscillating sum that is going towards 2/3.

How can I proceed from here to get to the RHS?

Thanks