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Question
Discuss the continuity of the f(x) at the indicated points:
(i) f(x) = | x | + | x − 1 | at x = 0, 1.
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Solution
Given:
We have
(LHL at x = 0) =
(RHL at x = 0) =
Also
Now,
(LHL at x = 1) =
(RHL at x =1) =
Also,
Hence,
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