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jackkim4
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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 ...
 one year ago
 one year ago
jackkim4 Group Title
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 ...
 one year ago
 one year ago

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

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
yes! it's not 0 is it...
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
well the last term looks like it will be one
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
1/10 is my answer. is it among the choices?
 one year ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
i 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?
 one year ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
how did you get 1/10????
 one year ago

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

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
i has no idea wat the triangle stands for :'(
 one year ago

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

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
i think the way ur doing it is correct... ur using the rem. sum right?
 one year ago

sirm3d Group TitleBest 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
 one year ago

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

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
so how did u get 1/10???
 one year ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
ur my hero !!!!
 one year ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
can u help me with next one when i close LOL i got an answer. but idk if i got it right...pretty plzzz
 one year ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.2
i'll try. pls post.
 one year ago
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