Waste less time on Facebook — follow Brilliant.
×

Real analysis

Show that \( f: [a,b] \to \mathbb R \) is Riemann integrable on \([a,b]\) if and only if there exists \( L \in \mathbb R \) such that for every \( \epsilon > 0\) there exists \( \delta_{\epsilon} > 0 \) such that if \(\mathcal P \) is any tagged partition with norm \( ||\dot{\mathcal P} || \leq \delta_\epsilon \), then \( | S ( f; \dot{\mathcal P}) - L | \leq \epsilon \).

Note by Syed Subhan Siraj
7 months, 1 week ago

No vote yet
1 vote

Comments

There are no comments in this discussion.

×

Problem Loading...

Note Loading...

Set Loading...