Anixx
Reputation
2,134
Top tag
Next privilege 2,500 Rep.
Create tag synonyms
 Apr4 asked $\gamma=0$? Where is my error? Apr4 comment Does it make sense to learn any other language except English, being a mathematician? @Howard Langtone consider Gelfond, Calculus of finite differences (1959). inis.jinr.ru/sl/vol1/UH/_Ready/Mathematics/… It has been translated to English only in 1971 in India. It is the only book where I found criteria of possibility to represent an analytic function as Newton series. Apr2 revised How to solve the following equation? $\left(\sqrt{u^2-1}+u\right)^{1/u}=\pi ^{1/\pi }$ edited tags Apr2 accepted How to solve the following equation? $\left(\sqrt{u^2-1}+u\right)^{1/u}=\pi ^{1/\pi }$ Apr2 asked How to solve the following equation? $\left(\sqrt{u^2-1}+u\right)^{1/u}=\pi ^{1/\pi }$ Apr1 comment Has anybody ever considered “full derivative”? @columbus8myhw this is not closed form... Apr1 comment Has anybody ever considered “full derivative”? @columbus8myhw it is not equal to e. Apr1 comment Has anybody ever considered “full derivative”? @columbus8myhw I think e can be expressed in closed form by modifying the formula. Mar28 comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$ @Martin R as $\log |a|$ Mar28 revised Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$ deleted 1 character in body Mar28 revised Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$ added 180 characters in body Mar28 comment Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$ Mar28 comment Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$ @abel Cosine integral mathworld.wolfram.com/CosineIntegral.html Mar28 asked Proof that $\lim_{x\to 0^+}{\sin \frac1x}=\sin \left(\frac{1}{2}\right)-\frac 12 \text{Ci}\left(\frac{1}{2}\right)$ Mar28 comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$ @Arpan Banerjee we get infinity in both numerator and denomenator with this rule. If u know how to apply it properly, make an answer please. Mar28 comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$ @Arpan Banerjee logarithm is not differentiable at 0, L'Hopital's rule is not applicable Mar28 comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$ @Arpan Banerjee counter-example: $x=1$, $\varepsilon$=2 Mar28 comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$ @math also if $x-\varepsilon$ <0 the seond factor also becomes infinite, and I am exactly interested in the case $|x|<\varepsilon$... Mar28 comment Find limit $\lim_{a\to 0} \, \frac{\left(a^{2 \varepsilon }-1\right) a^{x-\varepsilon }}{2 \varepsilon \log (a)}$ @math are u sure? What if a tends to zero from below? then the second factor in the numerator becomes infinite... Mar28 comment Given this operator what is inverse operator? @Martin R regarding sums to non-integer limits, look here: en.wikipedia.org/wiki/Indefinite_sum anyway, I found what I was looking for.