use of definition of limit to prove lim (x->2) x^2-2x+1
128761
An $\varepsilon-\delta$ proof of $\lim_{x\rightarrow c} (2x^ 2 − 3x + 4) = 2c ^2 − 3c + 4$.
73812
Does $\lim \limits_ {n\to \infty}\ \frac{n}{n+1}$ equal $1$?
109540
Simplify limit problem $\lim\limits_{x\to 0}\frac{\sqrt{2+x^2}-\sqrt{2+x^2}}{x^2}$
1444
Prove/Show that Limit is equal to 0.
30181
Proving that $\lim\limits_{x \to 0}\frac{e^x-1}{x} = 1$
135159
Limits using L'Hopital's rule $\lim_{x\to0^+} (x^{x^x-1})$
88782
Finding the limit of $x_1=0 , x_{n+1}=\frac{1}{1+x_n}$
17029
How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
101536
Difficult limit evaluation: $\lim_{x\to\infty}(\sqrt{x^2+4x} - x)$
144633
Verification of proof involving logarithms and limits
78941
proof that an alternative definition of limit is equivalent to the usual one
123436
Precise definition of limits and $\lim_{x\to-1}\frac1{\sqrt{x^2+3}}=\frac12$
18079
Evaluating $\lim\limits_{x\to \infty}\sqrt[6]{x^{6}+x^{5}}-\sqrt[6]{x^{6}-x^{5}}$
134787
How to prove $\lim \limits_{n\to\infty}(n+1)\int_{0}^{1}x^nf(x)dx=f(1)$
20956
Correct way to prove the limit: $\mathop {\lim }\limits_{x \to 0} {x^\alpha }\int\limits_x^1 {\frac{{f\left( t \right)}}{{{t^{\alpha  + 1}}}}dt} $?
5151
$ \lim x^2 = a^2$ as $x$ goes to $a$
119907
Finding the Derivative of |x| using the Limit Definition