Question

let f (x)={0,if x is a rational,x,if x is a irrational and g (x)=0,if x is irrational, x,if x is rational​

Answer 1

Answer:

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Step-by-step explanation:

At x=0

x→0

+

lim

f(x)=0

(Same for rational and irrational)

Also

x→0

−

lim

f(x)=0

So it is continuous at x=0

At other number it's limit is not defined in it's neighbourhood as it can be x or 0 when x



=0 it is not continuous.

So f(x) is continuous only at 0