- #1

- 3

- 0

## Homework Statement

Use an epsilon-delta proof to show that f(x) = sqrt(x) is continuous in x = 4.

## Homework Equations

## The Attempt at a Solution

|f(x) - f(4)| = |sqrt(x) - sqrt(4)| < ε

= |x-4| < ε²

And now what? I'm not even sure I'm on the right path. My biggest problem during these proofs is choosing an ε and relating it to |x-a| < δ to complete the proof. Please bear with me; I recently went back to school as a physics undergrad, and realize my math-fu is destroyed after six years as a journalist :)