- #1

Dr. Science

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## Homework Statement

Suppose that a function f has the property that

|f(x) - f(t)| < or = |x-t| for each pair of points in the interval (a,b). Prove that f is continuous

on (a,b)

## Homework Equations

?

## The Attempt at a Solution

f(x) and f(t) must be defined everywhere on (a,b)