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If f(x) = |x| + |x − 1|, then which one of the following is correct?

Mathematics 2018 NDA Mathematics 2018 NDA 2018

Options

A

f(x) is continuous at x = 0 and x = 1

B

f(x) is continuous at x = 0 but not at x = 1

C

f(x) is continuous at x = 1 but not at x = 0

D

f(x) is neither continuous at x = 0 nor at x = 1

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