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## Homework Statement

True or false? If f and g are continuous at 0 and f(1/(2n+7))=g(1/(7-2n)) for all positive integers n, then f(0)=g(0).

## Homework Equations

lim x->0 f(x)=f(0)

lim x->0 g(x)=g(0)

## The Attempt at a Solution

NO CLUE. My intuition says false.