Worked ex.5, page 253. 8. let f:(-1,1) r be continuous at 0. if f (r) = f(r) for all a e(-1,1), prove that f(r) = f(0) for all x e (-1, 1). hint. let ce (-1, 1)

Worked Ex.5, page 253. 8. Let f:(-1,1) R be continuous at 0. If f (r) = f(r) for all a e(-1,1), prove that f(r) = f(0) for all x E (-1, 1). Hint. Let ce (-1, 1). Consider the sequence (c) in (-1,1) converging to 0. Use sequential criterion for continuity. insaue an tlhe indicated interval.