Limit of $m/(x^m - 1) - n/(x^n - 1)$ as $x\rightarrow 1$ without l'Hôpital's rule?
17489
Showing that $\lim_{x \to 1} \left(\frac{23}{1-x^{23}}-\frac{11}{1-x^{11}} \right)=6$
155353
Find the limit of $ a_n =\left(1+\frac{1^2}{n^2}\right)^1\left(1+\frac{2^2}{n^2}\right)^2\cdots \left(1+\frac{n^2}{n^2}\right)^n$
19056
Find the limit of $(2\sin x-\sin 2x)/(x-\sin x)$ as $x\to 0$ without L'Hôpital's rule
137609
Proving $\lim_{n\rightarrow\infty} n(2^{1/n} - 1) = \log 2$
150734
Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.
113765
$\lim_{x\to0} \frac{x-\sin x}{x-\tan x}$ without using L'Hopital
136738
Does the limit $\lim _{x\to 0} \frac 1x \int_0^x \left|\cos \frac 1t \right| dt$ exists?
109899
Find $\,\lim_{x\to 1}\frac{\sqrt[n]{x}-1}{\sqrt[m]{x}-1}$
107764
Limit series $(a^n-b^n)^{1/n}$
115367
Limits with cubic root without L’Hopital’s Rule: $\lim_{x\to 1}\frac{\sqrt[3]{x}-1}{x-1} $
120493
L'hopitals rule with limits
41659
Limit as $x\to 0$ of $x\sin(1/x)$
119145
$\lim\limits_{n\rightarrow\infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$
155188
How do I prove this limit does not exist: $\lim_{x\rightarrow 0} \frac{e^{1/x} - 1}{e^{1/x} + 1} $
106867
Limit of $\cos(x)/x$ as $x$ approaches $0$
125538
limit of $n^{\frac{1}{\sqrt{n}}}$
36063
Finding the limit of $(1-\cos x)/x^2$