New posts in Limits

Taylor polynomial with remainder for solving limit

Why would $1^{-\infty}$ not be 1?

Intuitive explanation for $\lim\limits_{n\to\infty}\left(\frac{\left(n!\right)^{2}}{\left(n-x\right)!\left(n+x\right)!}\right)^{n}=e^{-x^2}$

Find $\lim_{n\to\infty} n\int_1^e x^a(\log_ex)^ndx$

Show that $\lim_{(x, y) \to (0, 0)} \frac{y + \sin x}{x + \sin y}$ does not exist.

How can we relate the two informal definitions of the limit with each other?

How can we prove that there is a number $a$ such that $\lim_{h\to 0}\frac{a^{h} -1}{h}=1$?

Why doesn't $f'(x) \to 0$ at $x \to \infty$ imply that $\lim_{x \to \infty}{f(x)}$ exists?

If $\lim_{x\to 0}\left(f(x)+\frac{1}{f(x)}\right)=2,$ show that $\lim_{x\to 0}f(x)=1$.

Proof of $\lim_{n \to \infty}(1+\frac{1}{n})^n=e$