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If $ f(x) = \begin{cases} b, & 0 \leq x < 1 \\ x + 3, & 1 < x \leq 2 \\ 4, & x = 1 \end{cases} $ , then the value of $ (a, b) $ for which $ f(x) $ cannot be continuous at $ x = 1 $ is

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If $f(x)=\{$, then the value of (a, b) for which $f(x)$ cannot be continuous at $x=1$ is

Updated On: Apr 15, 2026

(2, 2)
(3, 1)
(4, 0)
(5, 2)

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The Correct Option is D

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If \( f(x) = \begin{cases} b, & 0 \leq x < 1 \\ x + 3, & 1 < x \leq 2 \\ 4, & x = 1 \end{cases} \) , then the value of \( (a, b) \) for which \( f(x) \) cannot be continuous at \( x = 1 \) is

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The Correct Option is D

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