Prove
$\begin{align*}
\sum_{n=1}^\infty{\frac{1}{(n+1)\sqrt[p]{n}}}<p
\end{align*}$
for $p\geq1$.
Prove
For students of class 11-12 (age 16+)
-
- Posts:4
- Joined:Wed Jun 27, 2012 1:32 am
Unread post by CaptainPrice » Wed Jun 27, 2012 1:57 am
Return to “Higher Secondary Level”
Jump to
- General Discussion
- ↳ News / Announcements
- ↳ Introductions
- ↳ Social Lounge
- ↳ Site Support
- ↳ Test Forum
- ↳ Teachers' and Parents' Forum
- Mathematics
- ↳ Primary Level
- ↳ Junior Level
- ↳ Secondary Level
- ↳ Higher Secondary Level
- ↳ College / University Level
- Olympiads & Other Programs
- ↳ Divisional Math Olympiad
- ↳ Primary: Solved
- ↳ Junior: Solved
- ↳ Secondary: Solved
- ↳ H. Secondary: Solved
- ↳ National Math Olympiad (BdMO)
- ↳ National Math Camp
- ↳ Asian Pacific Math Olympiad (APMO)
- ↳ International Olympiad in Informatics (IOI)
- ↳ International Mathematical Olympiad (IMO)
- Olympiad Level
- ↳ Geometry
- ↳ Number Theory
- ↳ Algebra
- ↳ Combinatorics
- Sciences
- ↳ Physics
- ↳ Chemistry
- ↳ Computer Science
- ↳ Biology
- ↳ Astronomy & Astrophysics