hkproj

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bio website divisionbyzero.it location Milan, Italy age 21 member for 11 months seen Jan 28 at 17:46 profile views 3

 Jan28 accepted proof of limit for $x \to +\infty = +\infty$ Jan21 comment proof of limit for $x \to +\infty = +\infty$thank you, I think I understood. Jan21 revised proof of limit for $x \to +\infty = +\infty$typos Jan21 asked proof of limit for $x \to +\infty = +\infty$ Dec11 accepted Exercise about MacLaurin's polynomial and small-o Dec11 comment Exercise about MacLaurin's polynomial and small-oIt would be better if you write it, and I will mark your answer as accepted. Otherwise you'll lose the possibility to get reputation ;-) Dec11 comment Exercise about MacLaurin's polynomial and small-oThank you! How can I mark this post as answered? Dec11 comment Exercise about MacLaurin's polynomial and small-oThank you, I finally understood. I'll try to write down what I understood: I know that $x^n*x^k = o(x^n)$ for every $k > 0$. So in this case the lowest power is $x^5$. I ignore the others because when the function gets closer to zero ($x\to0$), their "influence" on the value on the function is "masked" by the value of x^5, because it is by far larger than bigger powers of $x$. Am I right? Dec11 comment Exercise about MacLaurin's polynomial and small-oSorry I am a bit confused. In the following question (math.stackexchange.com/questions/250926/…) I asked why $x^5 = o(x^2)$ as $x\to0$... and I was told in the comments that $o(f(x))$ means "very smaller than", so as $x\to0$, $x^5$ will definitely be smaller than $x^2$. Can you please elaborate your statement "... is a weaker statement." Dec11 comment Exercise about MacLaurin's polynomial and small-oisn't $x^3o(x^4)=o(x^7)$? Dec11 asked Exercise about MacLaurin's polynomial and small-o Dec4 comment little-o and its propertiesthank you Antonio. I also used wolframalpha to plot various functions. Now I have a visual representation of what's happening. Dec4 awarded Commentator Dec4 accepted little-o and its properties Dec4 comment little-o and its propertiesOk, I'll try with it and let you know if I have problems understanding something. Dec4 comment little-o and its propertiesthank you, I already read wikipedia before posting, but I wasn't sure if it listed also the particular cases which are usesful in most cases. My course doesn't include Big-O, so I might get confused reading the definition related to it. Can you please only tell me why the statement I wrote is true? I am unable to imagine a sort of mental representation of what's happening to the function... Dec4 asked little-o and its properties Dec2 comment second derivative of the inverse functionthank you! it was really that simple! Just a single question: if f(x) = g(x), can I also precisely say that f'(x) = g'(x)? Because you used this property at the second implication... Dec2 accepted second derivative of the inverse function Dec2 asked second derivative of the inverse function