Limit of a function - $x$ either rational or irrational - limit $1$ or $0$.
15330
Double limit of $\cos^{2n}(m! \pi x)$ at rationals and irrationals
23489
Limit of $\left(1+\frac{a}{x}\right)^x$ with and without L'Hôpital's rule
11382
Limit $\lim\limits_{x\to0}\frac1{\ln(x+1)}-\frac1x$
123568
Solving limit given a limit
54830
Find the limit $\lim\limits_{x\to\infty} f(x)= \lim\limits_{x \to \infty} \left(\frac{x}{x+1}\right)^x$
119984
Limit of $0/x$ as x goes to 0
126256
Prove limit of function
99827
For what values will f(x) be necessarily one-one?
76135
Limit of a particular variety of infinite product/series
73812
Does $\lim \limits_ {n\to \infty}\ \frac{n}{n+1}$ equal $1$?
94168
evaluate the limit as $x$ approaches $0$ of $(\cos x-1)/x$ without l'Hopital's rule
60831
Need hint for $\lim_{x\to 0} \frac{(x+1)^\frac{1}{x}-e}{x}$
135999
One sided limit of an increasing function defined on an open interval
101037
The given limit is a derivative, but of what function and at what point?
45728
Proving a limit of a trigonometric function: $\lim_{x \to 2/\pi}\lfloor \sin \frac{1}{x} \rfloor=0$
29213
Limit of 1/x as x approaches infinity
125667
Limit of a function of two variables