New posts in Limits

Find this limit $\lim_{n\rightarrow \infty} \frac{n}{n+1}-\frac{n+1}{n}$. Am I correct?

Confusion on the definition of accumulation points

Deriving Generating function for centered trinomial coefficients

Find $\lim_{x \to \infty}{\frac{(x+1)^{\frac{2}{3}}-(x-1)^{\frac{2}{3}}}{(x+2)^{\frac{2}{3}}-(x-2)^{\frac{2}{3}}}}$

$\lim_{x \to 0}{\frac{\sinh(x)-\sin(x)}{x(\cosh(x)-\cos(x))}}$

Proof that limits are unique

Find the derivative using the definition of derivative (limit).

Counterexample regarding basic properties of limits

$\underset{x\to 1}{\text{lim}}\int_0^x \frac{\sqrt{t} f(t)}{\sqrt{f(x)-f(t)}} \, \mathrm dt=\frac{ \pi }{\sqrt{2}}$

Proving that a function doesn't have a limit given $|a-b| = |f(a)-f(b)|$ for all $a,b\in \mathbb R$