I'm trying to find a proof that: $$ \lim_{x\to0^-}\sin(x)=0$$ I'd like to be able to do the proof without reference to advanced theorems (mean v...

Whats the difference between probability density function and probability distribution function?

Let's say that there is no limit to $x$, then I believe $y = \arccos(x) + \pi n $ because $\cos(y) = x$ for $x + \pi n , n\in \mathbb{Z}$. However, i...

Clairaut's Theorem Let $f$ be a function of two variables,let$(x_{0},y_{0})$ be a point and let $U$ be an open disk with center $(x_{0},y_{0})$.Assum...

Find the point of intersection of the straight line $$\frac{X+1}{4}=\frac{Y-2}{-2}=\frac{Z+6}{7}$$ and plane $3X+8Y-9Z=0$ the point of the line is $M(-1,2...

I'm a bit new to abstract algebra and while learning it, I've come across a somewhat tedious problem. I'm curious as to whether or not ther...

i have to calculate how probably it is, that the sum of 2 dice rolls is even. From my course i know that i have N^n Possibilities = 6^2 = 36. 6 = sides of...

(I am currently studying a high dimensional probability course with very little background knowledge in probability theory as a whole, so I hope it's...

So I'm trying to prove that $\lVert A\rVert_\infty \leq \sqrt{n} \lVert A\rVert_2$. I've written the right hand side in terms of rows, but this ...

Consider the picture below. I know pictures are usually looked down upon on this site but I have no experience with TikZ. Anyway, I am learning about regu...