Why $\lim_{x \to ∞} 1^x=1$ even though $1^∞$ in indeterminate?
13018
Why is $1^{\infty}$ considered to be an indeterminate form
67894
$\epsilon$-$\delta$ proof that $\lim\limits_{x \to 1} \frac{1}{x} = 1$.
114675
Evaluating $\lim\limits_{x\to 0}(1+x)^{1/x}$?
142575
Find the value of : $\lim_{x\to\infty} \sqrt{x+\sqrt{x}}-\sqrt{x}$
32744
A clarification in a limit
27423
Why does $\lim_{x\to 0^+} x^{\sin x}=1$?
117039
How to show $(1/n!)^{1/n}$ goes to $0$ as $n$ goes to infinity?
47606
Proving $\lim_{n\to\infty} a^{\frac{1}{n}}=1$ by definition of limit
4289
$\lim_{x\to0}\dfrac{1}{x}-\lim_{x\to0}\dfrac{1}{x}$
105860
Evaluate the limit of $(n+1)\int_0^1x^n\ln(1+x)\,dx$ when $n\to\infty$
968
$\lim_{x\to0^{+}} x \ln x$ without l'Hopital's rule
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
80440
Limit of $(x_n)$ with $0<x_1<1$ and $x_{n + 1} = x_n - x_n^{n + 1}$
149601
$\lim_{x\to{\infty}} (x-\sqrt{x^2+x})$
51212
How do I solve $\lim\limits_{x\to\infty} \ \frac{\ln \ x}{x} = 0$?
25772
Limit of ${x^{x^x}}$ as $x\to 0^+$
135155
Why is $\lim_{n \to +\infty }{\sqrt[n]{a_1 a_2 \cdots a_n}} =\lim_{n \to +\infty}{a_n}$