User Tools

Site Tools


math104-s21:s:antonthan

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
math104-s21:s:antonthan [2021/05/08 00:12]
45.48.153.5 [Problem 18]
math104-s21:s:antonthan [2026/02/21 14:41] (current)
Line 176: Line 176:
 $$U(f) \leq \sup_n(U(f, P_n)) = lim R_n = \inf_n(L(f, P_n)) \leq L(f)$$ $$U(f) \leq \sup_n(U(f, P_n)) = lim R_n = \inf_n(L(f, P_n)) \leq L(f)$$
  
-Since we also have $L(f) = U(f)$ by integrability, $lim R_n = \int_a^f(x)dx$, as desired.+Since we also have $L(f) = U(f)$ by integrability, $lim R_n = \int_0^f(x)dx$, as desired.
  
 === (b) === === (b) ===
Line 396: Line 396:
  
 ===== ඞ ඞ ඞ ඞ ඞ ===== ===== ඞ ඞ ඞ ඞ ඞ =====
-{{ :math104:s:amongus.mp4 |}}+{{ math104-s21:s:amongus.mp4 |}}
math104-s21/s/antonthan.1620432766.txt.gz · Last modified: 2026/02/21 14:44 (external edit)