How to solve this limit without L'Hospital's Rule?
100893
Determine $\lim_{x \to 0}{\frac{x-\sin{x}}{x^3}}=\frac{1}{6}$, without L'Hospital or Taylor
123568
Solving limit given a limit
149862
Limit of function with natural logarithm
76638
Find the limit $ \lim_{n \to \infty}\left(\frac{a^{1/n}+b^{1/n}+c^{1/n}}{3}\right)^n$
140969
Limit of square root problem
123790
Can we split the following limit?
138052
How to work out the limit of  this bounded sequence?
113913
using L'Hospital solve $\lim_{x \to \infty} x - x^{2}\ln(1 + \frac{1}{x})$
65213
How to find $\lim\limits_{x\to0}\frac{e^x-1-x}{x^2}$ without using l'Hopital's rule nor any series expansion?
3200
Limit of integral without Taylor expansion
33495
A limit problem about $a_{n+1}=a_n+\frac{n}{a_n}$
97522
Calculating a limit with Harmonic number
26408
Evaluate a limit (probably involving L'Hôpital rule)
33701
Find this limit using L`Hopitals rule
19898
Limit $\lim (1+(a^{1/n}-1) / b)^n$
44507
How can I find $\lim_{n\to \infty} a_n$
39747
Showing that $\lim_{x\to 0} x\log{x}= 0$ without using L'Hopital's rule