Prove $\lim_{x\to0} \sqrt {4 − x} = 2$ using $ε$, $δ$-definition.
50537
Prove $\lim_{x\to0}\sqrt{4-x}=2$ using the precise definition of limits. (Epsilon-Delta)
12375
Prove $\lim_{(x,y) \to (0,0)} \frac{x^3y}{x^4+y^2} = 0$
119907
Finding the Derivative of |x| using the Limit Definition
10749
Proving $\lim_{x\to 1} x^3=1$ with $\epsilon$-$\delta$ definition
68700
Proving Two Limits Are Equal to Each Other
25467
Prove that $\lim f(x) =0$ and $\lim (f(2x)-f(x))/x =0$ imply $\lim f(x)/x =0$
133244
Finding $\lim_{n \to \infty} n(\sqrt[n]{2} - 1)$
36648
The limit of $((1+x)^{1/x} - e+ ex/2)/x^2$ as $x\to 0$
60321
Use the definition of derivative to prove $\lim_{x\to 0}\ln(x+1)/x =1$
10208
Tetration convergence: prove $\lim_{x\rightarrow0} {}^{n}x = \begin{cases} 1, & n \text{ even} \\ 0, & n \text{ odd} \end{cases}$
91523
Prove this limit as $x\to\infty$
126256
Prove limit of function
139117
Proving $\lim_{x\to9}\sqrt x=3$ using Cauchy's definition
54304
How to make sense out of the $\epsilon-\delta$ definition of a limit?
33976
Prove that $\lim_{n \to \infty} \sqrt[n]{a} = 1$ using only the basic properties of sequences
72693
Prove: $\lim_{x\to\infty}x^{2/3}((x+1)^{1/3}-x^{1/3})=1/3$
141260
Prove using the formal definition of a limit that