Let f:[0, ] R be defined as f(x)= array ll x, & if x is irrational and x [0, ] ² x, & if x is rational and x [0, ] array The number of points in [0, ] at which the function f is continuous is :

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Correct answer: B. 4

x= ² x ² x= x (1- ² x ) x ( ² x+ -1 )=0 x=0 x= 5 -1 2 x=0, ⁻¹ 5 -1 2 , - ⁻¹ 5 -1 2

Let f:[0, ] R be defined as f(x)= array ll x, & if x is irrational and x [0, ] ² x, & if x is rational and x [0, ] array The number of points in [0, ] at which the function f is continuous is :

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