Could you show me an easy and fast way to test whether a function is odd or even using the calculator ? I've only came across the graphing way and an...

I know this question has been asked like 1000 times, however all supplied answers were not really satisfying to me. My question concerns the similarities ...

Let $X$ be a standard normal random variable. Then, for any differentiable f:R→R such that $\mathbb{E}f(X)^2<∞$ the Gaussian Poincare inequality states...

I am completly blocked trying to prove the solution of the limits below 1) $$ \lim _{m\to\infty}\left(\cos\left(\frac{x}{m}\right)\right)^m\\1 \quad \text...

$$f(x)= \begin{cases} x^2 + k & \text{if } x \leq 5 \\ k x\ &\text{if } x > 5 \end{cases} $$ I've seen where you set $x=5$ and plug in, bu...

I'm trying to understand the proof of the following limit using epsilon-delta definition. $$\lim _{x\to3} x^2 = 9$$ In Stewart Calculus, the proof go...

What is the difference between the relations "$\in$" and "$\subseteq$" ? Don't they both mean that something is an element of a set? Are they interch...

Consider a vector $v$. The magnitude of this vector (if it describes a position in euclidean space) is equal to the distance from the origin: $$(v^Tv)^{\f...

The author of the book I am referring assumes two rational integral functions as shown below $p_0\cdot x^n+p_1\cdot x^{(n-1)}+p_2\cdot x^{(n-2)}+...+p_n$ ...

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