Let $$ f(x)= \begin{cases}1 & \text { if } x=1 / n \text { for some } n \in \mathbf{N} \\ 0 & \text { otherwise. }\end{cases} $$ Show that $f$ is integrable on $[0,1]$ and compute $\int_{0}^{1} f$.

Exercise 7.3.3

Let

f (x) = {\begin{matrix} 1 & if x = 1 ∕ n for some n \in N \\ 0 & otherwise. \end{matrix}

Show that $f$ is integrable on $[0, 1]$ and compute $\int_{0}^{1} f$ .

TODO

ulissemini

2022-01-27 00:00