Why is it that $\lim_{h \to 0} \frac{\Delta_h^n}{h^n}=\frac{d^n}{dx^n}$.
64485
Proving $\displaystyle\lim_{h\to0}\frac{f(x+h)-2f(x)+f(x-h)}{h^2}=f''(x)$
22686
Show $\lim_{h\to 0} \frac{(a^h-1)}{h}$ exists without l'Hôpital or even referencing $e$ or natural log
32744
A clarification in a limit
117640
Prove that $\lim \inf \dfrac{x_{n+1}}{x_n}\leq \lim \inf x_n^{1\over n} \leq \lim \sup x_n^{1\over n} \leq \lim \sup \dfrac{x_{n+1}}{x_n}. $
71350
Let $H$ be a Hilbert space with projections $P,Q$, then $\lim_{n\to\infty}(PQ)^nx= Rx$ for all $x\in H$, where $R$ is the projection to $PH\cap QH$
13249
Multivariable limit proof: $\lim\limits_{(x,y)\rightarrow (0,0)}\frac{\left|x\right|^a\left|y\right|^b}{\left|x\right|^c + \left|y\right|^d} = 0$
65039
What is the reason of $dT/dh = 0$ in the gas column?
6393
What is the workings to solve $\lim\limits_{n\rightarrow \infty} \frac{n^t}{e^n}$?
18062
How can I prove $\lim_{n \to \infty} \frac{n^2}{2^n}=0$
44551
What is the result of $ \lim_{n \to \infty} \frac{ \sum^n_{i=1} i^k}{n^{k+1}},\ k \in \mathbb{R} $ and why?
157577
Prove that $\lim_{x\to y} \frac{d(x, F )}{|x−y|} = 0$ for a.e. $y \in F$.
54304
How to make sense out of the $\epsilon-\delta$ definition of a limit?
30181
Proving that $\lim\limits_{x \to 0}\frac{e^x-1}{x} = 1$
51869
Why does $\;\lim_{n\to \infty }\frac{n}{n!^{1/n}}=e$?
101888
Least action principle : is $ \delta \frac{dx}{dt} = \frac{d \delta x}{dt} $ always true?
58456
Why is $ 1^{\infty} \not= \lim_{t \to \infty} 1^t = 1$?
104878
What is the limit $\lim\limits_{n \to \infty} \frac{n^{\sqrt{n}}}{2^n}$?