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  • 11 votes cast
Mar
11
awarded  Yearling
Feb
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awarded  Popular Question
Nov
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awarded  Popular Question
Sep
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awarded  Popular Question
Jul
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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.
Dec
4
awarded  Commentator
Dec
4
accepted little-o and its properties
Dec
4
comment little-o and its properties
Ok, I'll try with it and let you know if I have problems understanding something.