Proving continuity of Logarithm using $\delta$-$\epsilon$
110146
I need to prove the continuity of $f(x)=\log x$ using a $\epsilon-\delta$ proof
62887
Proof that a linear transformation is continuous
111596
Epsilon Delta Limit Intuition
60700
Continuity of a function to the integers
149354
Proof of continuity $f(x+y) = f(x) + f(y)$
24817
Prove continuity on a function at every irrational point and discontinuity at every rational point.
67894
$\epsilon$-$\delta$ proof that $\lim\limits_{x \to 1} \frac{1}{x} = 1$.
50537
Prove $\lim_{x\to0}\sqrt{4-x}=2$ using the precise definition of limits. (Epsilon-Delta)
54304
How to make sense out of the $\epsilon-\delta$ definition of a limit?
59839
In $\epsilon$-$\delta$ continuity over an interval, $|x-c|<\delta$ implies $|f(x)-f(c)|<\epsilon$. Since both $c$ and $x$ vary, what's the difference?
76965
The epsilon-delta definition of continuity
6238
How to find delta, for a given epsilon?
108917
Use $\delta-\epsilon$ to show that $\lim_{n\to\infty} a^{\frac{1}{n}} = 1$?
85623
Proof of continuity implied by differentiability
34127
Prove $\lim_{x \rightarrow 0} \frac {\sin(x)}{x} = 1$ with the epsilon-delta definition of limit.
94971
For every $\epsilon>0$ there exists $\delta>0$ such that $\int_A|f(x)|\mu(dx) < \epsilon$ whenever $\mu(A) < \delta$
134752
Proof (epsilon delta) for the continuity of a function at a point