Why does the definition of a limit of a function not appear in textbooks on general topology?
38659
Does any book now in print define the meaning of $\lim_{x\to a}f(x)=b$ for $f\colon E\to Y$, $E\subseteq X$, $X$ a topological space, $Y$ Hausdorff?
6620
If $\lim\limits_{x\rightarrow\infty} (f'(x)+f(x)) =L<\infty$, does $\lim\limits_{x\rightarrow\infty} f(x) $ exist?
115132
Give an example about limits: $\lim\limits_{x\to0}f(x^{2})$ exists but $\lim\limits_{x\to0}f(x)$ does not.
145981
Introductory book on Topology
90153
Why does the definition of limits of a function have strict inequality?
90745
Why aren’t continuous functions defined the other way around?
11961
Why does $\lim_{n \to\infty}a_{n+1} = \lim_{n\to\infty}a_n$?
21740
Reference for general-topology
83790
Why doesn't $d(x_n,x_{n+1})\rightarrow 0$ as $n\rightarrow\infty$ imply ${x_n}$ is Cauchy?
22598
When does the limit $\lim_{(x,y)\to(0,0)} \frac{x^ky^l}{x^{2p}+y^{2q}}$ exist?
48727
Why is the Cantor set not defined by a limit?
111211
Does $\lim\limits_{n\to\infty}\frac{a_{n+1}}{a_n}=1$ imply that $a_n$ convergent?
44336
Is $\lim\limits_{x\to x_0}f'(x)=f'(x_0)$?
124779
Intuition for uniform continuity of a function on $\mathbb{R}$
8842
What's wrong with this "backwards" definition of limit?
76249
Does the limit of function of two variables exist
77239
Limit point versus limit and implications for convergence