Why : $1^{+\infty}$ is not $1 $ however $1^{+\infty}=\lim _{x\to 0+}(\frac{\sin x}{x})^{1/x}=1$?
13018
Why is $1^{\infty}$ considered to be an indeterminate form
63165
Is this limit correct: $\lim_{x \to+\infty} \frac{\log_{2}(x-1)}{x} = 0$?
116423
What is wrong with the argument $1 = \lim_{n\to \infty} n/n = \lim_{n\to\infty} (1/n+1/n+\dotsb+1/n) = 0 $?
151149
$\lim_{n \to \infty} n \int_{1}^{\infty} \frac{dx}{1+x^n}$, solution critique needed
78116
What is the most elementary proof that $\lim_{n \to \infty} (1+1/n)^n$ exists?
65975
Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin...(\sin(x)..)$
98392
Value of the limit $\lim_{x \to 0} \frac{\sin(\frac{1}{x})}{\sin(\frac{1}{x})}$
138583
What is the limit of $\lim\limits_{x→∞}\frac{\sin x}{x}$
31931
limit as $x$ approaches infinity of $\frac{1}{x}$
37755
Limit $\lim_{x \to \infty}{\sin{\sqrt{x+1}}-\sin{\sqrt{x}}}$
133874
Proof that $\lim_{n\to\infty}{\sin{100n}}$ does not exist
85531
Calculate $\lim_{x\to 0}\frac{1}{x^{\sin(x)}}$
72693
Prove: $\lim_{x\to\infty}x^{2/3}((x+1)^{1/3}-x^{1/3})=1/3$
25646
What is the result of $\infty - \infty$?
119200
When does $\lim_{n\to\infty}f(x+\frac{1}{n})=f(x)$ a.e. fail
86843
Find the value of : $\lim_{n\to\infty}[(n+1)\int_{0}^{1}x^{n}\ln(1+x)dx]$.
86653
Elementary question about the limit $\big( 1 - \frac 1 {\sqrt n}\big )^n$, $n\to\infty$.