Show that \[F(b) - F(a) = \sum^n_{k=1} [F(x_k) - F(x_{k-1})]\]

Exercise 8.1.11

Show that

F (b) - F (a) = \sum_{k = 1}^{n} [F (x_{k}) - F (x_{k - 1})]

This is a telescoping sum, with the right hand side becoming $F (x_{n}) - F (x_{0}) = F (b) - F (a)$ .

ulissemini

2022-01-27 00:00