New posts in limits-without-lhopital

Is it true that if $f$ is continuous, $\lim_{h \rightarrow 0} \frac{1}{h}\int_{x}^{x+h}f(t)dt = f(x)$? [duplicate]

Limit without hospital's rule $\lim_{x\rightarrow 0} (\frac{1}{x^2} - \frac{x}{\sin^3(x)})$

Spivak Calculus, Ch. 5 Limits: Finding the smallest $b$ in $|x-3|<b$ such that $|x^2-9|=|x-3||x+3|<\epsilon$?

What is the limit of

Find $\lim_{x\to -\infty}\sqrt{x^2+9}+x+3$

find the limit of $\lim\limits_{x\to\infty}(1+x)^{\frac{1}{x}} $

How can I solve this limit without L'Hopital's rule? [closed]

How to obtain the limit of $xy\log(x^2+y^2)$ when $(x,y)\to(0,0)$ without using polar coordinates or L'Hôpital?

Evaluating $\lim_{t \to 0} \frac{e^{5t} -1} {t}$

Limit $\lim_{x\to \frac{\pi}{3}} \frac{\sin(x-\frac{\pi}{3})}{1-2 \cos{x}}$

To compute $\lim_n (1+n)^{\frac1{\ln n}}$ without L'Hospital

Identify where $ f(x)= \sqrt{\frac{1-x}{|x|}}$ is continuous

Long limit question

Solving limit without L'Hôpital

Is showing $\lim_{z \to \infty} (1+\frac{1}{z})^z$ exists the same as $\lim_{n \to \infty} (1+1/n)^n$ exists

computing the limit $\lim_{\theta \to \frac{\pi}{2}} (\sec \theta - \tan \theta)$

Proving Schwarz derivative $\frac{f''(0)}{2} =\lim\limits_{x\to 0} \frac{\frac{f(x) -f(0)}{x}-f'(0)}{x}$ without Taylor expansion or L'Hopital rule?

Evalutating $\lim \limits_{ x \to \infty} (x+1)^k - (x)^k$ , given $0<k<1$ [duplicate]

Difficulty in evaluating a limit: $\lim_{x \to \infty} \frac{e^x}{\left(1+\frac{1}{x}\right)^{x^2}}$ [duplicate]

Find the limit of $(2\sin x-\sin 2x)/(x-\sin x)$ as $x\to 0$ without L'Hôpital's rule