6. Let f: Q R be defined by f(x) Show that f is continuous. 0, :{ 1, = if x € (-∞, √2) nQ if x € (√2, ∞) nQ

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6. Let f Q→→ R be defined by
:
f(x) = {
Show that f is continuous.
0,
1,
if a € (-∞, √2) nQ
if € (√2, ∞) nQ
Transcribed Image Text:6. Let f Q→→ R be defined by : f(x) = { Show that f is continuous. 0, 1, if a € (-∞, √2) nQ if € (√2, ∞) nQ
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