My lecturer has asked us to prove:
Uploaded with ImageShack.us
im confused as to what details I need to provide as it looks as if its pretty much complete bar the end? Have I missed something?
My lecturer has asked us to prove:
Uploaded with ImageShack.us
im confused as to what details I need to provide as it looks as if its pretty much complete bar the end? Have I missed something?
This is the standard proof. Can you do i, ii, & iii ?
Note that if $\displaystyle n\ge 2$ then
$\displaystyle 0 \leqslant \left( {\sqrt[n]{n} - 1} \right)^2 \leqslant \frac{4}{n}$.
So, $\displaystyle \left( {\frac{4}{n}} \right) \to 0\;\therefore \,\left( {\sqrt[n]{n} - 1} \right)^2 \to0\text{ or }\left({\sqrt[n]{n}} \right) \to 1$
we have barely looked at binomial theorem yet so I'm not completely sure what he's asking of me. unfortunately my calculus lecturer isnt brilliant at making the questions follow the class work. I can follow what is going on:
i) the series is just expanded out
ii) n/2 is substituted in for n-1 and rearranged
iii) x is substituted.
i think thats it?
not at all, you've misunderstood me. I said I understand as I thought I understood your post, so went back to work some more on the question. I apologise if I have managed to offend you but I was simply replying to be polite while carrying on trying to get my head around the whole thing. I'm not asking for a whole answer, I've been out of education for over 10 years and and struggling to keep up so came to the forum with help in understanding. Also the homeworks are a very small part of the course as the majority of it is exam based so just having answers just handed to me isnt going to pass my exams either, I'm no teenager that can just throw away their degree or get someone else to give them the work n scrape through, this means a lot to me so if I'm posting a question its because I genuinly am struggling to either understand what the question is asking (as in this case) or what I need to do to get the answer. And even if given an answer I never just copy it down, I go away and try to understand it too.
Aside from that, thank you very much for your help, I am very grateful x