Umar Jamil
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 Feb 9 awarded Notable Question Oct 15 awarded Popular Question Oct 9 awarded Notable Question Mar 11 awarded Yearling Feb 9 awarded Popular Question Nov 3 awarded Popular Question Sep 15 awarded Popular Question Jul 2 awarded Curious Jan 28 accepted proof of limit for $x \to +\infty = +\infty$ Jan 21 comment proof of limit for $x \to +\infty = +\infty$ thank you, I think I understood. Jan 21 revised proof of limit for $x \to +\infty = +\infty$ typos Jan 21 asked proof of limit for $x \to +\infty = +\infty$ Dec 11 accepted Exercise about MacLaurin's polynomial and small-o Dec 11 comment Exercise about MacLaurin's polynomial and small-o It would be better if you write it, and I will mark your answer as accepted. Otherwise you'll lose the possibility to get reputation ;-) Dec 11 comment Exercise about MacLaurin's polynomial and small-o Thank you! How can I mark this post as answered? Dec 11 comment Exercise about MacLaurin's polynomial and small-o Thank 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? Dec 11 comment Exercise about MacLaurin's polynomial and small-o Sorry 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." Dec 11 comment Exercise about MacLaurin's polynomial and small-o isn't $x^3o(x^4)=o(x^7)$? Dec 11 asked Exercise about MacLaurin's polynomial and small-o Dec 4 comment little-o and its properties thank you Antonio. I also used wolframalpha to plot various functions. Now I have a visual representation of what's happening.