What does it mean that $f(x)$ tends to a limit as $x$ tends to infinity?
118265
What does limit actually mean?
20404
Prove that $f$ continuous and $\int_a^\infty |f(x)|\;dx$ finite imply $\lim\limits_{ x \to \infty } f(x)=0$
142329
Limit of reciprocal function is the reciprocal of its limit
135700
Show that $\lim_{n \to \infty} (1/n)\sum_{i=1}^n f(x_i)$ exists
101904
Why does this limit exist $x^{x}$
153267
Proving $\lim\limits_{x \to \infty} xf(x)=0$ if $\int_{0}^{\infty}f(x) dx$ converges.
81
$\lim_{n\to \infty}f(nx)=0$ implies $\lim_{x\to \infty}f(x)=0$
91680
Does $\lim_{n\to \infty} \int^{\infty}_{-\infty} f_n(x) dx\, = \int^{\infty}_{-\infty} f(x)\,dx\,$?
35517
Evaluating the supremum of a function as n tends to infinity
25646
What is the result of $\infty - \infty$?
32744
A clarification in a limit
67364
If $\lim_{x\to\infty}(f(x)+f'(x))=L$ show that $\lim_{x\to\infty} f(x) = L$ and $\lim_{x\to\infty} f'(x) = 0$
33486
Negation of the Definition of Limit of a Function
29180
If $f(x/n)\to0$ when $n\to\infty$, for every $x$ and $f$ is continuous, then $f(x)\to0$ when $x\to0$, or not?
155333
Prove that $\lim_{x\to\infty}\frac{f(x)}x=\lim_{x\to\infty}f'(x)$
25592
If a derivative of a continuous function has a limit, must it agree with that limit?
157608
One-sided limits of $f'(x)$ at a point vs. one-sided limits of the difference quotient at that point