The function \[f(x)\,=\,|x|+|x-1|\] is [RPET 1996; Kurukshetra CEE 200

1.	The function \[f(x)\,=\,\|x\|+\|x-1\|\] is [RPET 1996; Kurukshetra CEE 2002]
A.	Continuous at \[x=1,\] but not differentiable at \[x=1\]
B.	Both continuous and differentiable at \[x=1\]
C.	Not continuous at \[x=1\]
D.	Not differentiable at \[x=1\]
Answer» B. Both continuous and differentiable at \[x=1\]

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The function \[f(x)\,=\,|x|+|x-1|\] is [RPET 1996; Kurukshetra CEE 2002]

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