Does $f(x) = 1 = \frac{x-1}{x-1}$ have a hole at $x=1$?
49368
Why does factoring eliminate a hole in the limit?
78319
Show that $x \mapsto \frac{f(x)}{x}$ is strictly increasing on (0,1) given that f '(x) is strictly increasing on (0,1) and that f(0)=0
154264
$f \in C[-1,1]$, Prove ${\lim_{h \to 0^+}}{\int_{-1}^1 \frac{h}{h^2+x^2}f(x)\,dx} = \pi f(0)$
68746
What is $f(f^{-1}(A))$?
35556
$f(z)=\frac{z}{1+|z|} $ Is 1-1?
81679
Why is $f(4)$ the area under $f'(x)$ specifically from $0$ to $4$ and not for ex from $1$ to $4$ or $2$ to $4$?
3110
Prove $\frac{1}{\sqrt{x}}\geq \frac{\ln x}{x-1}$
113045
How do I find the inverse of $f(x) = \frac{x}{x^2 + 1}$
2414
If $f \in \operatorname{Hol}(D)$, $f(\frac{1}{2}) + f(-\frac{1}{2}) = 0$, prove that $|f(0)| \leq \frac{1}{4}$
62055
Solve $\frac{d}{dx}f(x)=f(x-1)$
13533
Proof that the limit of $\frac{1}{x}$ as $x$ approaches $0$ does not exist
102019
How to solve inequality $1-\frac{1}{x}\geq 0$ correctly?
110704
Find all functions $f$ such that $f(x)+f(\frac{1}{1-x})=x$
140260
Is $\int \frac{1}{2x} \, dx $ equal to $\frac{\ln|2x|}{2}+ C$ or $\frac{\ln|x|}{2}+ C$
55175
Is the function $f(x) = x^2 - 2x$ one-to-one?
62947
If $f(x)$ is equal to $x$ or $1-x$ when $x$ is rational/irrational, then $f$ is continuous only at $x=1/2$
23465
When $f(x+1)-f(x)=f'(x)$, what are the solutions for $f(x)$?