New posts in Limits

Evaluating $\lim_{x\to0}{\frac{\sqrt[3]{\cos{4x}}-\sqrt[3]{\cos{5x}}}{1-\cos{3x}}}$ without L'Hopital's rule

Find $\lim_{n \to \infty} \prod_{k=1}^{n} \frac{(k+1)^2}{k(k+2)}$

Prove that if $f(x) = \frac{\sqrt{x} - \sqrt{a}}{x-a}$, then $f$ has a limit at a.

Can't solve a difficult limit

How to find a limit of this?

Evaluate the following limit: $\lim_{x \to 0} (1+x)^{\tan(\frac{1}{x})}$

Completing the square to solve limit problems

Calculate $\lim_{x\to 0} {1\over x} \int_0^x \cos(t^2)\,dt$

Calculate $\lim_{x\to\infty}\frac{x^2}{x+1}-\sqrt{x^2+1}$

Prove $\lim_{x\to 0} f(x)$ exists $\implies\lim_{x\to 0} f(x^2)$ exists