New posts in limits-without-lhopital

show $\lim_{x\to 0}\frac{e^x-1}{x}=1$ without L'Hopital

Find $\lim_{x \to \infty} \frac{\sin{x}+\cos{x}}{x}$

Doubt in solving $\lim_{x\to 0}\cos(x)^{\frac{1}{\sin^2(x)}}$

Limit infinity involving floor function

Finding the limit of $\sqrt[n]{{kn \choose n}}$

Prove $\lim_{n \to \infty} \frac{\ln(n)}{n}=0$ without L'Hospital's Rule

prove that $\lim\limits_{x\to 1}\frac{x^{1/m}-1}{x^{1/n}-1}=\frac{n}{m}$

Number of integral values of n for which limit

Limit evaluate $\lim_{x\to0}{{\frac{\ln(\cos(4x))}{\ln(\cos(3x))}}}$?

Why doesn't using the approximation $\sin x\approx x$ near $0$ work for computing this limit?

Very indeterminate form: $\lim_{x \to \infty} \left(\sqrt{x^2+2x+3} -\sqrt{x^2+3}\right)^x \longrightarrow (\infty-\infty)^{\infty}$

Evaluating $\lim_{x \to 1} \frac{\sin{\pi x}}{\sin{3\pi x}}$ without L'Hopital's rule [closed]

Spivak Calculus, Ch 5 Limits, Problem 11: What exactly does it mean that limits are a local property?

Spivak Calculus, Ch. 5 Limits, Problem 14a: Possible typos in solution manual solution?

How do I calculate this limit: $\lim\limits_{n\to\infty}1+\sqrt[2]{2+\sqrt[3]{3+\dotsb+\sqrt[n]n}}$?

Evaluate $\lim_{x \to 0}{\frac{\sqrt[3]{1 + cx} - 1}{x}}$ without using L-H Rule [duplicate]

Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule [duplicate]

Proving the surprising limit: $\lim\limits_{n \to 0} \frac{x^{n}-y^{n}}{n}$ $=$ log$\frac{x}{y}$

Finding $\lim_{n \to \infty }\sqrt[n]{b^{2^{-n}}-1}$ without L'hopital

Evaluating $\lim_{x\to 0}\left(\frac{1}{\sin x} - \frac{1}{\tan x}\right)$