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Discuss the continuity of function f(...

Discuss the continuity of function
`f(x)={{:(1,"if x is rational"),(0,"if x is irrational"):}`

A

`f(x)` is continuous is `R-{1}`

B

f(x) is continuous is `R~Q`

C

f(x) is continuous in R but not differentiable in R

D

f(x) is neigher continuous nor differentiable in R

Text Solution

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The correct Answer is:
D
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