If $\lim_{x \to \infty}f(x) = l$, then $\lim_{x \to 0} f(\frac1{x^2}) = l$
89180
limit of reciprocal of function
44095
Prove that $\lim_{x\to \infty}\left(x-\ln\cosh x\right)=\ln 2$
97747
Limit of $\lim\limits_{n\to\infty} (1 + \frac{x_n}{n})^n$
44336
Is $\lim\limits_{x\to x_0}f'(x)=f'(x_0)$?
91680
Does $\lim_{n\to \infty} \int^{\infty}_{-\infty} f_n(x) dx\, = \int^{\infty}_{-\infty} f(x)\,dx\,$?
15982
Limit of $b_n$ when $b_n=\frac{a_n}{n}$ and $\lim\limits_{n\to\infty}(a_{n+1}-a_n)=l$
144422
How to prove that $\lim\limits_{x\to\infty} f(x)/x=L$
13104
What is $\lim_{x \to \infty} \frac{\sin x}{\sin x}?$
20764
Is it true that $\lim\limits_{x\to\infty}{x·P[X>x]}=0$?
138930
What does $\lim\limits_{x \to \infty} f(x) = 1$ say about $\lim\limits_{x \to \infty} f'(x)$?
36358
How prove that $\lim\limits_{x\to+\infty}f(x)=\lim\limits_{x\to+\infty}f'(x)=0$ if $\lim\limits_{x\to+\infty}([f'(x)]^2+f^3(x))=0$?
121217
How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$?
84785
Is $f(x)=x+\frac{x}{x+1}$ uniformly continuous on $(0,\infty)$
59162
Prove $\liminf\limits_{n\to\infty} F(x_n)\le F(x)$
153267
Proving $\lim\limits_{x \to \infty} xf(x)=0$ if $\int_{0}^{\infty}f(x) dx$ converges.
11382
Limit $\lim\limits_{x\to0}\frac1{\ln(x+1)}-\frac1x$
64169
Why isn't $\lim \limits_{x\to\infty}\left(1+\frac{1}{x}\right)^{x}$ equal to $1$?