New posts in limits-without-lhopital

$\lim_{x\to0}\frac{e^x-1-x}{x^2}$ using only rules of algebra of limits.

$ \lim\limits_{x \to \infty} x^2(4^{\frac{1}{x}} - 4^{\frac{1}{1+x}}) $

Understand how to evaluate $\lim _{x\to 2}\frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$

Find $\lim \limits_{x\to 0}{\sin{42x} \over \sin{6x}-\sin{7x}}$

Finding the Limit of a Sequence (No L'Hopital's Rule)

Find the value of infinite series $\sum_{n=1}^{\infty} \tan^{-1}(2/n^2)$

Evaluate $\lim_{x\to 0}\frac {(\cos(x))^{\sin(x)} - \sqrt{1 - x^3}}{x^6}$

Limit without De L'Hospital: $\lim_{x\to \pi/2}\frac{\sin x-1}{2x-\pi}$

Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule?

Why do we need to check for more than $\frac{\infty}{\infty}$ or $\frac{0}{0}$ when applying L'Hospital?

What is the $\lim_{n\to\infty}\frac{e^{n^{2}}}{(2n)!}$?

Evaluate $\lim_{x\to 0}\frac{x-\sin x}{x\sin x}$ without to use L'Hopital

How to Find $ \lim\limits_{x\to 0} \left(\frac {\tan x }{x} \right)^{\frac{1}{x^2}}$.

How can I calculate this limit without using exponential or logs as I found on internet?

What is an intuitive approach to solving $\lim_{n\rightarrow\infty}\biggl(\frac{1}{n^2} + \frac{2}{n^2} + \frac{3}{n^2}+\dots+\frac{n}{n^2}\biggr)$?

Is applying L'Hopital's rule to $\lim_{x\to \infty}\frac{\ln x}{x ^k}, k \in R^+ $, because numerator and denominator isn't differentiable

Prove limit converges in definition of $e.$

Limit question - L'Hopital's rule doesn't seem to work

Im stuck with the ε-δ definition of a limit of succession

I dont know how i can resolve this problem of the ε definition of a limit of succession