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 Dec 29 answered What is the derivative of: $f(x)=x^{2x^{3x^{4x^{5x^{6x^{7x^{.{^{.^{.}}}}}}}}}}$? Nov 30 awarded Popular Question Nov 4 comment Show $F(z)=\int_{0}^{1}{g(t)\over t-z}dt$ is holomorphic in $\Bbb{C}\setminus[0,1]$. Limit problem. Please check Leibniz integral rule. The proof has similiar idea. en.wikipedia.org/wiki/Leibniz_integral_rule#Proofs Then have a look the title 'General form with variable limits' in the page Nov 4 comment Show $F(z)=\int_{0}^{1}{g(t)\over t-z}dt$ is holomorphic in $\Bbb{C}\setminus[0,1]$. Limit problem. The integral depends on $t$ but we take limit on $h$. Nov 4 revised Show $F(z)=\int_{0}^{1}{g(t)\over t-z}dt$ is holomorphic in $\Bbb{C}\setminus[0,1]$. Limit problem. deleted 117 characters in body Nov 4 revised Show $F(z)=\int_{0}^{1}{g(t)\over t-z}dt$ is holomorphic in $\Bbb{C}\setminus[0,1]$. Limit problem. added 506 characters in body Nov 4 answered Show $F(z)=\int_{0}^{1}{g(t)\over t-z}dt$ is holomorphic in $\Bbb{C}\setminus[0,1]$. Limit problem. Oct 5 awarded Nice Question Oct 5 awarded Popular Question Sep 28 revised How can I expand $(a+b)^{q} = a^q + b^q + \cdots$? added 245 characters in body Sep 28 answered How can I expand $(a+b)^{q} = a^q + b^q + \cdots$? Sep 21 comment (Beginner) Intuition to solve a functional equation and steps for this particular- @Chappers Thanks for those points Sep 21 revised (Beginner) Intuition to solve a functional equation and steps for this particular- added 444 characters in body Sep 21 answered (Beginner) Intuition to solve a functional equation and steps for this particular- Sep 21 comment What is $\sum\limits_{i=1}^n \sqrt i\$? @Seirios $f(n)-f(n-1)=\sqrt{n}$ it is a function relation and I solved it for $n∈R$ via derivatives and integration. .Please think $n∈R$ for $f(n)-f(n-1)=\sqrt{n}$. The solution that I found after derivatives and integration is also true for $n∈N$ because $N∈R$. Aug 28 revised To find out the minimum required jumper number between objects edited tags Aug 27 revised To find out the minimum required jumper number between objects added 4 characters in body Aug 27 revised To find out the minimum required jumper number between objects added 116 characters in body Aug 27 asked To find out the minimum required jumper number between objects Aug 25 revised Derivation for the derivative of $a^{t}$ from The Equation deleted 1 character in body