New posts in Epsilon Delta

Why cannot $\varepsilon$ be negative?

Proving $\lim_{x \to 1}\frac{x+1}{x-2} + x = -1$ using definition

Limit of a sequence (definition)

How can we relate the two informal definitions of the limit with each other?

Prove $\lim_{z \to 0} \frac{z}{\overline{z}}$ doesn't exist using $\varepsilon-\delta$.

Understanding Epsilon-Delta Proof

Why must delta be defined in terms of epsilon only?

Prove that if $f(x) = \frac{\sqrt{x} - \sqrt{a}}{x-a}$, then $f$ has a limit at a.

Verify the following limit using epsilon-delta definition: $ \lim_{(x,y)\to(0,0)}\frac{x^2y^2}{x^2+y^2}=0$

Give a $\delta-\epsilon$ proof that $f(x,y)=\sqrt{x+y-2}$ is continuous at $(2,1)$.