A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Plz help! super challenging question...
Evaluate: lim n>inf 1/n[(1/n)^9+(2/n)^9+(3/n)^9+...+(n/n)^9]
p.s: i got 0...but i don't think that's right ...
 2 years ago
Plz help! super challenging question... Evaluate: lim n>inf 1/n[(1/n)^9+(2/n)^9+(3/n)^9+...+(n/n)^9] p.s: i got 0...but i don't think that's right ...

This Question is Closed

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0\[\lim\limits_{n\rightarrow\infty} \frac1n\left[\left(\frac1n\right)^9+\left(\frac2n\right)^9+\left(\frac3n\right)^9+...+\left(\frac nn\right)^9\right] \]

jackkim4
 2 years ago
Best ResponseYou've already chosen the best response.0yes! it's not 0 is it...

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0well the last term looks like it will be one

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.21/10 is my answer. is it among the choices?

jackkim4
 2 years ago
Best ResponseYou've already chosen the best response.0i separated (1)^9/(n)^9 and factored out all the (n)^9. resulting in (1/n^10) in the front. so that (1/n^10) times (n)^9 the last term will cancel. which will b left with (1/n) and (1/inf) is 0. 0 times anything left in the [ ...] will be 0. right?

jackkim4
 2 years ago
Best ResponseYou've already chosen the best response.0how did you get 1/10????

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.2\[\large \int\limits_{a}^{b}f(x) dx=\lim_{n \rightarrow +\infty}\sum_{i=1}^{n} f(a+i \Delta x)\Delta x,\quad \Delta x = \frac{ ba }{ n }\]

jackkim4
 2 years ago
Best ResponseYou've already chosen the best response.0i has no idea wat the triangle stands for :'(

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.2\[\left( \frac{ 1 }{ n } \right)^9+...+\left( \frac{ n }{ n } \right)^9=\sum_{i=1}^{n}\left( \frac{ i }{ n } \right)^n\]

jackkim4
 2 years ago
Best ResponseYou've already chosen the best response.0i think the way ur doing it is correct... ur using the rem. sum right?

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.2\[\large \sum_{i=1}^{n}\left( \frac{ i }{ n } \right)^9=\sum_{i=1}^{n}\left( 0+i\frac{ 1 }{ n } \right)^9\]so a = 0, b=1 (delta x) = 1/n

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.2therefore \[\large f(x)=x^9\]\ YES, the problem is a riemann sum.

jackkim4
 2 years ago
Best ResponseYou've already chosen the best response.0so how did u get 1/10???

jackkim4
 2 years ago
Best ResponseYou've already chosen the best response.0can u help me with next one when i close LOL i got an answer. but idk if i got it right...pretty plzzz
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.