New posts in Limits

Limit of $0^0$ (Indeterminate form)

Limit $\lim_{x\rightarrow0}\frac{1}{x}\int_{0}^{\sin x}\sin \frac{1}{t} \cos t^{2}\mathrm{d}t$

Maximum area of circles inscribed in sectors of the unit circle

Why does the limit definition of e fail?

Calculating the limit $ \lim_{x \to 0} \frac{e^{\sin^2(x)} - e^x}{\sin(2x)}$ without L'Hospital's rule

Show that $\lim\limits_{n \to +\infty}(\sin(\frac{1}{n^2})+\sin(\frac{2}{n^2})+\cdots+\sin(\frac{n}{n^2})) = \frac{1}{2}$

Show that $\lim_{n \to \infty} \left(1+\frac{a_n}{n}\right)^n= e^a$ when $a_n \to a$

Misconception about evaluating limits

Limit of $a_{n+1} = a_{n}(1+1/n^2)$

Finding the limit of $a_n = \frac{n+1}{2^{n+1}}\left(\frac{2}{1}+\frac{2^2}{2}+...+\frac{2^{n}}{n}\right)$