Find $\lim_{x \to a} \frac{x^n - a^n}{x - a}$ for some parameter $a \in \mathbb{R}$
115210
Evaluate $\lim\limits_{x \to a} \frac{x^m-a^m} {x-a}$
125538
limit of $n^{\frac{1}{\sqrt{n}}}$
111636
Finding $\lim_{n\to\infty}\int_0^{\frac{1}{2^n}}(1+\cos(x))^n\,dx$
49460
Find the limit of the given function
109489
How to solve $ \lim_{n\to\infty} \frac {(n!)^\frac{1}{n}}{n} $?
19898
Limit $\lim (1+(a^{1/n}-1) / b)^n$
95508
Evaluate $\lim\limits_{x\to 1}\frac{\sqrt x-x^2 }{1-\sqrt x}$
102425
Limit $ a_{n+1} = \frac{1}{3}(2a_n + \frac{5}{a_n^{2}}), a_1 > 0 $
7389
Finding the limit of $\frac{Q(n)}{P(n)}$ where $Q,P$ are polynomials
109907
How to prove that $\lim\limits_{h \to 0} \frac{a^h - 1}{h} = \ln a$
79785
Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
96011
Find $\lim_{n\to\infty}\frac{a^n}{n!}$
66526
Find the limit of: $\lim_{n\to\infty} \frac{1}{\sqrt[n+1]{(n+1)!} - \sqrt[n]{(n)!}}$
47606
Proving $\lim_{n\to\infty} a^{\frac{1}{n}}=1$ by definition of limit
35169
Finding the limit of $\left(\frac{n}{n+1}\right)^n$
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
10456
Finding limits $l=\lim_{x \rightarrow a}\frac{x^x-a^x}{x-a} $ & $m= \lim_{x \rightarrow a}\frac{a^x-x^a}{x-a} $.