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ID:
Class: 12
Subject: Math
Topic: Continuity and Differentiability
Type: Mcq
Year: 2025
Question:
The function f defined by \(f(x)=\begin{cases}x,&if~x\le1\\ 5,&if~x>1\end{cases}\) is not continuous at:
A.
\(x=0\)
B.
\(x=1\)
C.
\(x=2\)
D.
\(x=5\)
Official Solution
Correct Answer:
\(x=1\)
Explanation:
for x=1, LHL=1 and RHL=5
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