I need some help with the following question from my homework. Any and all help is appreciated. Problem at hand Thank you all.
Edit: The question reads as follows:
Let $\{x_n\}$ be a convergent sequence with limit $x$. Let $y_n=x_n-x_{n+1}$ for all positive integers $n$. Evaluate $\sum_{n=1}^\infty y_n$, if the infinite series converges.