New posts in limits

Is there an exact term for $\sqrt{2+\sqrt{4+\sqrt{8+\dots}}}$

limits nested-radicals

Prove/Show that Limit is equal to 0.

real-analysis integration analysis limits improper-integrals

Computing a limit of a sum mixed with product.

real-analysis sequences-and-series algebra-precalculus limits infinite-product

If $\lim\limits_{n \to \infty} a_n$ exists is it true that $a_n$ is bounded?

calculus sequences-and-series limits limits-without-lhopital

How to find if a curve is bounded by two others? [duplicate]

limits inequality logarithms

Proving $(2n-1)^n + (2n)^n ≈ (2n+1)^n$

limits proof-verification

Showing that the "left-hand limit function" is left continuous

real-analysis analysis limits proof-writing

Evaluate $\lim_{x\to \infty} \cos (\sqrt {x+1})-\cos (\sqrt x)$

calculus limits

Why the limit of $\frac{\sin(x)}{x}$ as $x$ approaches 0 is 1? [duplicate]

calculus limits

Prove that $\lim_{a \to \infty} \sum_{n=1}^{\infty} \frac{(n!)^a}{n^{an}} = 1$.

real-analysis calculus sequences-and-series limits summation

If $\lim_{x \to \infty} f(x) - xf'(x)$ exists, does $\lim_{x \to\infty} f'(x)$ exist as well?

real-analysis limits derivatives

How to recognise intuitively which functions grow faster asymptotically?

calculus limits functions logarithms asymptotics

How to evaluate the limit $\lim_{x\to 0} \frac{1-\cos(4x)}{\sin^2(7x)}$

calculus limits trigonometry

How do I calculate $\lim_{n\to \infty} \frac{\ln(n)}{\ln(n+1)}$?

sequences-and-series limits

$\lim_{n\to\infty} \sqrt[n]{n!}$ and $\lim_{n\to\infty}\frac{1}{n} \sqrt[n]{n!}$ with differentiation and integration tools.

real-analysis limits riemann-integration stieltjes-integral

$f'$ exists, but $\lim \frac{f(x)-f(y)}{x-y}$ does not exist

calculus limits derivatives

Prove that there is no function $f:\Bbb{R}\to\Bbb{R}$ with $f(0)>0$ such that $\forall x,y\in\Bbb{R}, f(x+y)\geq f(x)+y f(f(x))$

calculus real-analysis limits functional-equations

Limit of $x^{1/x}$

calculus limits

Evaluating the limit of a certain definite integral

calculus real-analysis integration limits closed-form

Calculating $\lim_{x \to 0}\frac{x \tan2x-2x\tan x}{(1-\cos2x)^2}$

calculus limits derivatives trigonometry