The points of discontinuity of the function `f(x)={2sqrt(x),0lt=xlt=1 4-2x,1

Answer

Option (b) `x=5/2`

Explanation

Let,

`X \rightarrow 1`

\begin{aligned}
&f\left(1^{-}\right)=f\left(1^{+}\right)=f(1) \text { continuous at } x=1\\
&f\left(1^{-}\right)=2\\
&f(1+)=2\\
&f(1)=2\\ \\
&f\left((5 / 2)^{-} \right) \neq f\left((5 / 2)^{+}\right)=f(5 / 2) \\ \\
...