Question

remain sum problem

Answer 1

\[\lim_{x \rightarrow \infty} \frac{ 1 }{ n } ((\frac{ 1 }{ n })^{9} + (\frac{ 2 }{ n })^{9} +. . . + (\frac{ n }{ n })^{9})\]
Show That : \[\int\limits_{a}^{b} f(x) dx \]

NOW i have solve these a while back, but so i managed to get the \[\Delta x = \frac{ 1-0 }{ n }\]
and its is right end point :
\[x ^{i} = a + \Delta x = 0 + \frac{ 1 }{ n }\]

now i need the general form which i think is \[\frac{ i }{ n }\]

after that i don't know, where to go

Answer 2

Hmm I don't understand what you've written here...
I see no summation anywhere.

And your limit involves both x and n.
Hmm...

Answer 3

Show that:



... show what?

Answer 4

@zepdrix yeah sorry , but that is all the information given in the question

\[\sum_{i = 1}^{n } \lim_{n \rightarrow \infty} \frac{ 1 }{ n }((\frac{ 1 }{ n })^{9} + . . . + (\frac{ n }{ n })^{9})\]
Find \[F(x) = \int\limits_{a}^{b} f(x)dx \]

Answer 5

So I am assuming than the 'n' is supposed to be an 'x'?

Answer 6

yeah i think so, @chiunlee12

Answer 7

okaay so first solve the inner summation