Compute a limit without L'Hopital's rule $\lim_{x \to a} \frac{a^x-x^a}{x-a}$
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} $.
79618
Find the limit without use of L'Hôpital or Taylor series: $\lim \limits_{x\rightarrow 0} \left(\frac{1}{x^2}-\frac{1}{\sin^2 x}\right)$
109907
How to prove that $\lim\limits_{h \to 0} \frac{a^h - 1}{h} = \ln a$
46542
How do I calculate $\lim_{x\to+\infty}\sqrt{x+a}-\sqrt{x}$?
32742
The limit of $\frac{|A_n|}{n^2}$
46990
$\lim_{x\to0}\frac{e^x-1-x}{x^2}$ using only rules of algebra of limits.
11385
Using the Limit definition to find the derivative of $e^x$
158591
I want to calculate the limit of: $\lim_{x \to 0} \left(\frac{2^x+8^x}{2} \right)^\frac{1}{x} $
8174
Using Newton's method calculate $ \frac{1}{\sqrt{a}} $ without division
71891
$\lim_{x \to 0} f(x)=\frac{\tan 3x}{\tan 2x}$ without L'Hospital
26211
Computing $\lim_{x \to \infty} x \biggl[ \frac{1}{e} - \left( \frac{x}{x+1} \right)^x \biggr]$
56085
Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule
23489
Limit of $\left(1+\frac{a}{x}\right)^x$ with and without L'Hôpital's rule
87749
Calculate limit with L'Hospital's rule
65275
Finding $\lim\limits_{x\to1^-}\Bigl(\prod\limits_{n=0}^{\infty}\Bigl(\frac{1+x^{n+1}}{1+x^n}\Bigr)^{x^n}\Bigr)$
95962
proving a theorem from limit using Hopital rule
48041
Compute the given limit as $x$ approaches $\infty$