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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability1 Mark
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Answer

Correct option: D.
$f$ is discontinuous at $x=1$
(d): $f(1)=1$
$
\lim _{x \rightarrow 1^{-}} f(x)=\lim _{x \rightarrow 1} x=1, \quad \lim _{x \rightarrow 1^{+}} f(x)=\lim _{x \rightarrow 1} 7=7$
Since, $f(1) \neq \lim _{x \rightarrow 1^{+}} f(x) \therefore f$ is discontinuous at $x=1$

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