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 Feb 5 comment Closed form for $\left(\sum_{k=0}^n\frac{x^k}{k!}\right)^p$ Tried to workout $e^x$ and Newton binomial? Jan 23 answered Limit of sum of sine terms Sep 18 comment Prove that $\lim_\limits{x\to 0}{\frac{e^x-1}{x}}=1$ without derivatives @JackD'Aurizio: If $exp(x) = \sum \frac{x^n}{n!}$ by definition then I agree, but I'm denied un-(-1) the answer. Sep 16 comment Prove that $\lim_\limits{x\to 0}{\frac{e^x-1}{x}}=1$ without derivatives -1: op asked not to use derivatives, taylor and related Sep 7 comment Find a tangent plane Your function z = f(x,y) plot needs three dimensions. Thus, one contrain become a plane. To say, x=0 is a plane in three dimensions since you can move freely on y and z axis. Aug 30 comment Solve this integral:$\int_0^\infty\frac{\arctan x}{x(x^2+1)}\mathrm dx$ You are welcome! Aug 29 comment Solve this integral:$\int_0^\infty\frac{\arctan x}{x(x^2+1)}\mathrm dx$ Aug 29 comment Solve the factorial equation $x! = c$ To prove it's enough observing that $n!$ is strictly increasing for $n \ge 1$, then use @Shailesh 's observation. Aug 27 answered Solving this Recurrence Relation in terms of previous values. Aug 25 answered Calculate area of a triangle with just one length and a tangent-relation(?) Aug 25 comment can a real number be added to a complex number related for second question Aug 24 comment Are there reasons not to use product of vectors as dot product? Thank you, but I should say in my linear algebra course I have never seen the relationship of my question (even if it's quite trivial). Aug 24 comment Are there reasons not to use product of vectors as dot product? thank you for proving this example! Aug 24 answered Why is $1+\cos(\theta)=2\cos^2(\frac{\theta}{2})$ Aug 24 accepted Are there reasons not to use product of vectors as dot product? Aug 21 comment How to compute the monstrous $\int_0^{\frac{e-1}{e}}{\frac{x(2-x)}{(1-x)}\frac{\log\left(\log\left(1+\frac{x^2}{2-2x}\right)\right)}{2-2x+x^2}dx}$ Observing $\log\left(\log\left(1+\frac{x^2}{2-2x}\right)\right) = \log(\log(2-2x+x^2) - \log(2-2x))$ could be useful Aug 20 asked Are there reasons not to use product of vectors as dot product? Aug 12 answered Can math be learned backwards? Aug 10 comment Can Lagrange Multiplier method provide a saddle point in two dimensions take $f(x,y) = x^2 - y^2$, in $(x,y)=(0,0)$. It's a maximum when restricting by imposing $y = 0$, but it's a minimum when restricting by imposing $x = 0$ Aug 8 revised Show $\lim_{m \to \infty ,n \to \infty } f(\frac{{\left\lfloor {mx} \right\rfloor }}{m},\frac{{\left\lfloor {ny} \right\rfloor }}{n}) = f(x,y)$ tag correction