New posts in Limits Without Lhopital

Limits of functions that can't be attacked by Taylor series or L'hopital's rule

Prove this limit without using these techniques, and for beginner students: $\lim_{x\to0} \frac{e^x-1-x}{x^2}=\frac12$

Avoid L'hopital's rule

Compute trigonometric limit without use of de L'Hospital's rule

Evaluate $\lim_{x\to 1} \frac{p}{1-x^p}-\frac{q}{1-x^q}$

Evaluate the $\lim_{x \to \ -\infty} (x + \sqrt{x^2 + 2x})$

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

Stuck on basic limit problem: $\lim_{x \to 0} \frac{\sin(\tan x)}{\sin x}$

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

Limit $\lim_{x \to 1} \frac{\log{x}}{x-1}$ without L'Hôpital