1. Let f:R R be defined by {1 if x rational number, 12 if x irrational number f(x) = Show that f is discontinuous at all x in R.

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1. Let f:R - R be defined by
f(x) =}
{1 if x rational number,
if x irrational number
Show that f is discontinuous at all x in R.
Transcribed Image Text:1. Let f:R - R be defined by f(x) =} {1 if x rational number, if x irrational number Show that f is discontinuous at all x in R.
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